https://wiki.geogebra.org/s/de/index.php?title=MatrixAnwenden_(Befehl)&feed=atom&action=history
MatrixAnwenden (Befehl) - Versionsgeschichte
2024-03-28T19:49:06Z
Versionsgeschichte dieser Seite in GeoGebra Manual
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Zbynek: Textersetzung - „;([A-Za-z0-9]*)\[(.*)\]“ durch „;$1($2)“
2017-10-07T15:59:50Z
<p>Textersetzung - „;([A-Za-z0-9]*)\[(.*)\]“ durch „;$1($2)“</p>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;MatrixAnwenden<del class="diffchange diffchange-inline">[ </del><[[Matrizen|Matrix<del class="diffchange diffchange-inline">]</del>]>, <[[Geometrische Objekte|Objekt]]> ]: Formt das Objekt ''O'' so um, dass der Punkt ''P'' auf ''O'' folgendem Punkt zugeordnet wird:</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>;MatrixAnwenden<ins class="diffchange diffchange-inline">( </ins><[[Matrizen|Matrix<ins class="diffchange diffchange-inline">)</ins>]>, <[[Geometrische Objekte|Objekt]]> ]: Formt das Objekt ''O'' so um, dass der Punkt ''P'' auf ''O'' folgendem Punkt zugeordnet wird:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''M*P'' (mit Matrix ''M''), falls M eine 2x2-Matrix ist</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''M*P'' (mit Matrix ''M''), falls M eine 2x2-Matrix ist</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div> Sei <code>M={{cos(π/2),-sin(π/2)}, {sin(π/2), cos(π/2)}}</code> die Transformationsmatrix und ''u=(2,1)'' ein Vektor (Objekt). Mit der Eingabe <code><nowiki>MatrixAnwenden[M,u]</nowiki></code> erhalten sie den um 90 Grad gedrehten (mathematisch positiver Sinn) Vektor ''u´=(-1,2)''.</div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div> Sei <code>M={{cos(π/2),-sin(π/2)}, {sin(π/2), cos(π/2)}}</code> die Transformationsmatrix und ''u=(2,1)'' ein Vektor (Objekt). Mit der Eingabe <code><nowiki>MatrixAnwenden[M,u]</nowiki></code> erhalten sie den um 90 Grad gedrehten (mathematisch positiver Sinn) Vektor ''u´=(-1,2)''.</div>}}</div></td></tr>
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Zbynek
https://wiki.geogebra.org/s/de/index.php?title=MatrixAnwenden_(Befehl)&diff=11127&oldid=prev
Markus.winkler: added additional information from English page
2015-10-01T07:31:54Z
<p>added additional information from English page</p>
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<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=<del class="diffchange diffchange-inline">4</del>.<del class="diffchange diffchange-inline">2</del>}}</noinclude>{{command|vector-matrix|MatrixAnwenden}}</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=<ins class="diffchange diffchange-inline">5</ins>.<ins class="diffchange diffchange-inline">0</ins>}}</noinclude></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{command|vector-matrix|MatrixAnwenden}}</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;MatrixAnwenden[ <[[Matrizen|Matrix]]>, <[[Geometrische Objekte|Objekt]]> ]: Formt das Objekt ''O'' so um, dass der Punkt ''P'' auf ''O'' folgendem Punkt zugeordnet wird:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;MatrixAnwenden[ <[[Matrizen|Matrix]]>, <[[Geometrische Objekte|Objekt]]> ]: Formt das Objekt ''O'' so um, dass der Punkt ''P'' auf ''O'' folgendem Punkt zugeordnet wird:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''M*P'' (mit Matrix ''M''), falls M eine 2x2-Matrix ist</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''M*P'' (mit Matrix ''M''), falls M eine 2x2-Matrix ist</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''<del class="diffchange diffchange-inline">Projektierung</del>(M*(x(P), y(P), 1))'', wobei ''<del class="diffchange diffchange-inline">Projektierung</del>'' der von ''(x,y,z)'' nach ''(x/z, y/z)'' projezierte Punkt ist , falls M eine 3x3-Matrix ist</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">:{{example|1=<div> Sei <code>M={{cos(π/2),-sin(π/2)}, {sin(π/2), cos(π/2)}}</code> die Transformationsmatrix und ''u=(2,1)'' ein Vektor (Objekt). Mit der Eingabe <code><nowiki>MatrixAnwenden[M,u]</nowiki></code> erhalten sie den um 90 Grad gedrehten (mathematisch positiver Sinn) Vektor ''u´=(-1,2)''.</div>}}</ins></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''<ins class="diffchange diffchange-inline">Projektion</ins>(M*(x(P), y(P), 1))'', wobei ''<ins class="diffchange diffchange-inline">Projektion</ins>'' der von ''(x,y,z)'' nach ''(x/z, y/z)'' projezierte Punkt ist , falls M eine 3x3-Matrix ist</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<<del class="diffchange diffchange-inline">div</del>> <del class="diffchange diffchange-inline">Sei ''</del>M={{<del class="diffchange diffchange-inline">cos(<math>\frac{π</del>}{<del class="diffchange diffchange-inline">2</del>} <del class="diffchange diffchange-inline"></math>)</del>,<del class="diffchange diffchange-inline">-sin(<math>\frac</del>{<del class="diffchange diffchange-inline">π}{2} </math>)}</del>,<del class="diffchange diffchange-inline">{sin(<math>\frac{π</del>}<del class="diffchange diffchange-inline">{2</del>} </<del class="diffchange diffchange-inline">math</del>><del class="diffchange diffchange-inline">),cos(</del><<del class="diffchange diffchange-inline">math</del>><del class="diffchange diffchange-inline">\frac{π}{2} </math>)}}'' die Transformationsmatrix und ''</del>u=(2,1)<del class="diffchange diffchange-inline">'' </del>ein Vektor <del class="diffchange diffchange-inline">(Objekt)</del>. <del class="diffchange diffchange-inline">Mit der Eingabe </del><code<del class="diffchange diffchange-inline">><nowiki</del>>MatrixAnwenden[M,u]<del class="diffchange diffchange-inline"></nowiki></del></code> <del class="diffchange diffchange-inline">erhalten sie </del>den <del class="diffchange diffchange-inline">um 90 Grad gedrehten (mathematisch positiver Sinn) </del>Vektor ''<del class="diffchange diffchange-inline">u´</del>=(<del class="diffchange diffchange-inline">-</del>1,<del class="diffchange diffchange-inline">2</del>)''.</<del class="diffchange diffchange-inline">div</del>>}}</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<ins class="diffchange diffchange-inline">Sei </ins><<ins class="diffchange diffchange-inline">code</ins>>M={{<ins class="diffchange diffchange-inline">1,1,0</ins>}<ins class="diffchange diffchange-inline">,</ins>{<ins class="diffchange diffchange-inline">0,1,1</ins>},{<ins class="diffchange diffchange-inline">1,0</ins>,<ins class="diffchange diffchange-inline">1</ins>}}</<ins class="diffchange diffchange-inline">code</ins>> <ins class="diffchange diffchange-inline">eine Matrix und </ins><<ins class="diffchange diffchange-inline">code</ins>>u=(2,1)<ins class="diffchange diffchange-inline"></code> </ins>ein <ins class="diffchange diffchange-inline">gegebener </ins>Vektor. <code>MatrixAnwenden[M,u]</code> <ins class="diffchange diffchange-inline">ergibt </ins>den Vektor ''<ins class="diffchange diffchange-inline">u'</ins>=(1,<ins class="diffchange diffchange-inline">0.67</ins>)''.<ins class="diffchange diffchange-inline">}}</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">* Punkt ''M*P'', falls ''P'' ein ''3D'' Punkt und ''M'' eine 3 x 3 Matrix ist </ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">* Punkt ''N*P'', falls ''P'' ein ''3D'' Punkt und ''M'' eine 2 x 2 Matrix ist: die Matrix ''N'' ist die ''Vervollständigung'' von ''M'': sei ''M'' = <math>\begin{pmatrix}a&b\\ c&d \end{pmatrix}</ins></<ins class="diffchange diffchange-inline">math> dann ist ''N'' = <math</ins>><ins class="diffchange diffchange-inline">\begin{pmatrix</ins>}<ins class="diffchange diffchange-inline">a&b&0\\ c&d&0\\0&0&1 \end{pmatrix</ins>}<ins class="diffchange diffchange-inline"></math></ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{note| 1=Mit diesem Befehl ist es auch möglich [[Bilder|Bilder]] zu transformieren.}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{note| 1=Mit diesem Befehl ist es auch möglich [[Bilder|Bilder]] zu transformieren.}}</div></td></tr>
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Markus.winkler
https://wiki.geogebra.org/s/de/index.php?title=MatrixAnwenden_(Befehl)&diff=8397&oldid=prev
Sarah. am 28. Juli 2014 um 11:16 Uhr
2014-07-28T11:16:44Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 28. Juli 2014, 11:16 Uhr</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''Projektierung(M*(x(P), y(P), 1))'', wobei ''Projektierung'' der von ''(x,y,z)'' nach ''(x/z, y/z)'' projezierte Punkt ist , falls M eine 3x3-Matrix ist</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''Projektierung(M*(x(P), y(P), 1))'', wobei ''Projektierung'' der von ''(x,y,z)'' nach ''(x/z, y/z)'' projezierte Punkt ist , falls M eine 3x3-Matrix ist</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div> Sei ''M={{cos(<math>\frac{π}{2} </math>),-sin(<math>\frac{π}{2} </math>)},{sin(<math>\frac{π}{2} </math>),cos(<math>\frac{π}{2} </math>)}}'' die Transformationsmatrix und ''u=(2,1)'' ein Vektor (Objekt). Mit der Eingabe <code><nowiki><del class="diffchange diffchange-inline">MatrixAnwendung</del>[M,u]</nowiki></code> erhalten sie den um 90 Grad gedrehten (mathematisch positiver Sinn) Vektor ''u´=(-1,2)''.</div>}}</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div> Sei ''M={{cos(<math>\frac{π}{2} </math>),-sin(<math>\frac{π}{2} </math>)},{sin(<math>\frac{π}{2} </math>),cos(<math>\frac{π}{2} </math>)}}'' die Transformationsmatrix und ''u=(2,1)'' ein Vektor (Objekt). Mit der Eingabe <code><nowiki><ins class="diffchange diffchange-inline">MatrixAnwenden</ins>[M,u]</nowiki></code> erhalten sie den um 90 Grad gedrehten (mathematisch positiver Sinn) Vektor ''u´=(-1,2)''.</div>}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{note| 1=Mit diesem Befehl ist es auch möglich [[Bilder|Bilder]] zu transformieren.}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{note| 1=Mit diesem Befehl ist es auch möglich [[Bilder|Bilder]] zu transformieren.}}</div></td></tr>
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Sarah.
https://wiki.geogebra.org/s/de/index.php?title=MatrixAnwenden_(Befehl)&diff=7657&oldid=prev
MagdalenaSophieF am 8. Juli 2013 um 12:17 Uhr
2013-07-08T12:17:58Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 8. Juli 2013, 12:17 Uhr</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''Projektierung(M*(x(P), y(P), 1))'', wobei ''Projektierung'' der von ''(x,y,z)'' nach ''(x/z, y/z)'' projezierte Punkt ist , falls M eine 3x3-Matrix ist</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''Projektierung(M*(x(P), y(P), 1))'', wobei ''Projektierung'' der von ''(x,y,z)'' nach ''(x/z, y/z)'' projezierte Punkt ist , falls M eine 3x3-Matrix ist</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">:{{example|1=<div> Sei ''M={{cos(<math>\frac{π}{2} </math>),-sin(<math>\frac{π}{2} </math>)},{sin(<math>\frac{π}{2} </math>),cos(<math>\frac{π}{2} </math>)}}'' die Transformationsmatrix und ''u=(2,1)'' ein Vektor (Objekt). Mit der Eingabe <code><nowiki>MatrixAnwendung[M,u]</nowiki></code> erhalten sie den um 90 Grad gedrehten (mathematisch positiver Sinn) Vektor ''u´=(-1,2)''.</div>}}</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{note| 1=Mit diesem Befehl ist es auch möglich [[Bilder|Bilder]] zu transformieren.}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{note| 1=Mit diesem Befehl ist es auch möglich [[Bilder|Bilder]] zu transformieren.}}</div></td></tr>
</table>
MagdalenaSophieF
https://wiki.geogebra.org/s/de/index.php?title=MatrixAnwenden_(Befehl)&diff=7656&oldid=prev
MagdalenaSophieF am 8. Juli 2013 um 12:00 Uhr
2013-07-08T12:00:56Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 8. Juli 2013, 12:00 Uhr</td>
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<td colspan="2" class="diff-lineno">Zeile 4:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''Projektierung(M*(x(P), y(P), 1))'', wobei ''Projektierung'' der von ''(x,y,z)'' nach ''(x/z, y/z)'' projezierte Punkt ist , falls M eine 3x3-Matrix ist</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''Projektierung(M*(x(P), y(P), 1))'', wobei ''Projektierung'' der von ''(x,y,z)'' nach ''(x/z, y/z)'' projezierte Punkt ist , falls M eine 3x3-Matrix ist</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">;MatrixAnwenden[ <[[Matrizen</del>|<del class="diffchange diffchange-inline">Matrix]]>, <</del>[[Bilder|<del class="diffchange diffchange-inline">Bild]</del>]<del class="diffchange diffchange-inline">> </del>]<del class="diffchange diffchange-inline">: Formt das Bild analog dem Objekt um</del>.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">:{{note</ins>| <ins class="diffchange diffchange-inline">1=Mit diesem Befehl ist es auch möglich </ins>[[Bilder|<ins class="diffchange diffchange-inline">Bilder</ins>]] <ins class="diffchange diffchange-inline">zu transformieren</ins>.<ins class="diffchange diffchange-inline">}}</ins></div></td></tr>
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MagdalenaSophieF
https://wiki.geogebra.org/s/de/index.php?title=MatrixAnwenden_(Befehl)&diff=7655&oldid=prev
MagdalenaSophieF am 8. Juli 2013 um 11:39 Uhr
2013-07-08T11:39:43Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 8. Juli 2013, 11:39 Uhr</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=4.2}}</noinclude>{{command|vector-matrix|MatrixAnwenden}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=4.2}}</noinclude>{{command|vector-matrix|MatrixAnwenden}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;MatrixAnwenden[ <[[Matrizen|Matrix]]>, <[[Geometrische Objekte|Objekt]]> ]: Formt das Objekt so um, dass der Punkt ''P'' auf <del class="diffchange diffchange-inline">dem Obejkt </del>''O'' folgendem Punkt zugeordnet wird:</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>;MatrixAnwenden[ <[[Matrizen|Matrix]]>, <[[Geometrische Objekte|Objekt]]> ]: Formt das Objekt <ins class="diffchange diffchange-inline">''O'' </ins>so um, dass der Punkt ''P'' auf ''O'' folgendem Punkt zugeordnet wird:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''M*P'' (mit Matrix ''M''), falls M eine 2x2-Matrix ist</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''M*P'' (mit Matrix ''M''), falls M eine 2x2-Matrix ist</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''Projektierung(M*(x(P), y(P), 1))'', wobei ''Projektierung'' der von ''(x,y,z)'' nach ''(x/z, y/z)'' projezierte Punkt ist , falls M eine 3x3-Matrix ist</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''Projektierung(M*(x(P), y(P), 1))'', wobei ''Projektierung'' der von ''(x,y,z)'' nach ''(x/z, y/z)'' projezierte Punkt ist , falls M eine 3x3-Matrix ist</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;MatrixAnwenden[ <[[Matrizen|Matrix]]>, <[[Bilder|Bild]]> ]: Formt das Bild analog dem Objekt um.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;MatrixAnwenden[ <[[Matrizen|Matrix]]>, <[[Bilder|Bild]]> ]: Formt das Bild analog dem Objekt um.</div></td></tr>
</table>
MagdalenaSophieF
https://wiki.geogebra.org/s/de/index.php?title=MatrixAnwenden_(Befehl)&diff=7654&oldid=prev
MagdalenaSophieF am 8. Juli 2013 um 11:33 Uhr
2013-07-08T11:33:19Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 8. Juli 2013, 11:33 Uhr</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=4.2}}</noinclude>{{command|vector-matrix|MatrixAnwenden}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=4.2}}</noinclude>{{command|vector-matrix|MatrixAnwenden}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;MatrixAnwenden[<[[Matrizen|Matrix]] <del class="diffchange diffchange-inline">M</del>>, <[[Geometrische Objekte|Objekt]] <del class="diffchange diffchange-inline">O</del>>]: Formt das Objekt so um, dass der Punkt ''P'' auf ''O'' folgendem Punkt zugeordnet wird:</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>;MatrixAnwenden[ <[[Matrizen|Matrix]]>, <[[Geometrische Objekte|Objekt]]> ]: Formt das Objekt so um, dass der Punkt ''P'' auf <ins class="diffchange diffchange-inline">dem Obejkt </ins>''O'' folgendem Punkt zugeordnet wird:</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''M*P'', falls M eine 2x2-Matrix ist</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''M*P'' <ins class="diffchange diffchange-inline">(mit Matrix ''M'')</ins>, falls M eine 2x2-Matrix ist</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''Projektierung(M*(x(P), y(P), 1))'', wobei ''Projektierung'' der von ''(x,y,z)'' nach ''(x/z, y/z)'' projezierte Punkt ist , falls M eine 3x3-Matrix ist</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''Projektierung(M*(x(P), y(P), 1))'', wobei ''Projektierung'' der von ''(x,y,z)'' nach ''(x/z, y/z)'' projezierte Punkt ist , falls M eine 3x3-Matrix ist</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;MatrixAnwenden[<[[Matrizen|Matrix]] <del class="diffchange diffchange-inline">M</del>>, <[[Bilder|Bild]] <del class="diffchange diffchange-inline">O</del>>]: Formt das Bild analog dem Objekt um.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>;MatrixAnwenden[ <[[Matrizen|Matrix]]>, <[[Bilder|Bild]]> ]: Formt das Bild analog dem Objekt um.</div></td></tr>
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MagdalenaSophieF
https://wiki.geogebra.org/s/de/index.php?title=MatrixAnwenden_(Befehl)&diff=6802&oldid=prev
Zbynek: Textersetzung - „version=4.0“ durch „version=4.2“
2013-03-24T00:46:11Z
<p>Textersetzung - „version=4.0“ durch „version=4.2“</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 24. März 2013, 00:46 Uhr</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;MatrixAnwenden[<[[Matrizen|Matrix]] M>, <[[Geometrische Objekte|Objekt]] O>]: Formt das Objekt so um, dass der Punkt ''P'' auf ''O'' folgendem Punkt zugeordnet wird:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;MatrixAnwenden[<[[Matrizen|Matrix]] M>, <[[Geometrische Objekte|Objekt]] O>]: Formt das Objekt so um, dass der Punkt ''P'' auf ''O'' folgendem Punkt zugeordnet wird:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''M*P'', falls M eine 2x2-Matrix ist</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* dem Punkt ''M*P'', falls M eine 2x2-Matrix ist</div></td></tr>
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Zbynek
https://wiki.geogebra.org/s/de/index.php?title=MatrixAnwenden_(Befehl)&diff=3339&oldid=prev
Andrea.duringer am 28. Juli 2011 um 12:48 Uhr
2011-07-28T12:48:09Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 28. Juli 2011, 12:48 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Zeile 1:</td>
<td colspan="2" class="diff-lineno">Zeile 1:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=4.0}}</noinclude>{{command|vector-matrix|MatrixAnwenden}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=4.0}}</noinclude>{{command|vector-matrix|MatrixAnwenden}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;MatrixAnwenden[ <Matrix>, <Objekt> ]</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>;MatrixAnwenden[<<ins class="diffchange diffchange-inline">[[Matrizen|</ins>Matrix<ins class="diffchange diffchange-inline">]] M</ins>>, <<ins class="diffchange diffchange-inline">[[Geometrische Objekte|</ins>Objekt<ins class="diffchange diffchange-inline">]] O</ins>>]<ins class="diffchange diffchange-inline">: Formt das Objekt so um, dass der Punkt ''P'' auf ''O'' folgendem Punkt zugeordnet wird:</ins></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:<del class="diffchange diffchange-inline">{{translate|ApplyMatrix Command}}</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">* dem Punkt ''M*P'', falls M eine 2x2-Matrix ist</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">* dem Punkt ''Projektierung(M*(x(P), y(P), 1))'', wobei ''Projektierung'' der von ''(x,y,z)'' nach ''(x/z, y/z)'' projezierte Punkt ist , falls M eine 3x3-Matrix ist</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">;MatrixAnwenden[<[[Matrizen|Matrix]] M>, <[[Bilder|Bild]] O>]</ins>: <ins class="diffchange diffchange-inline">Formt das Bild analog dem Objekt um.</ins></div></td></tr>
</table>
Andrea.duringer
https://wiki.geogebra.org/s/de/index.php?title=MatrixAnwenden_(Befehl)&diff=407&oldid=prev
Zbynek: Autogenerated from properties
2011-03-23T23:56:16Z
<p>Autogenerated from properties</p>
<p><b>Neue Seite</b></p><div><noinclude>{{Manual Page|version=4.0}}</noinclude>{{command|vector-matrix|MatrixAnwenden}}<br />
;MatrixAnwenden[ <Matrix>, <Objekt> ]<br />
:{{translate|ApplyMatrix Command}}</div>
Zbynek