Difference between revisions of "MatrixRank Command"
From GeoGebra Manual
m (changed description of CAS syntax) |
m (command syntax: changed [ ] into ( )) |
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<noinclude>{{Manual Page|version=5.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> | <noinclude>{{Manual Page|version=5.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> | ||
{{command|vector-matrix}} | {{command|vector-matrix}} | ||
− | ;MatrixRank | + | ;MatrixRank( <Matrix> ) |
:Returns the [[w:Rank_(linear_algebra)|rank]] of given matrix. | :Returns the [[w:Rank_(linear_algebra)|rank]] of given matrix. | ||
:{{examples| 1=<div> | :{{examples| 1=<div> | ||
− | :* <code><nowiki>MatrixRank | + | :* <code><nowiki>MatrixRank({{2, 2}, {1, 1}})</nowiki></code> yields ''1''. |
− | :* <code><nowiki>MatrixRank | + | :* <code><nowiki>MatrixRank({{1, 2}, {3, 4}})</nowiki></code> yields ''2''. |
− | :* Let <code><nowiki>A = {{1, 2, 3}, {1, 1, 1}, {2, 2, 2}}</nowiki></code> be a 3x3-matrix. <code><nowiki>MatrixRank | + | :* Let <code><nowiki>A = {{1, 2, 3}, {1, 1, 1}, {2, 2, 2}}</nowiki></code> be a 3x3-matrix. <code><nowiki>MatrixRank(A)</nowiki></code> yields ''2''.</div>}} |
{{hint|1= | {{hint|1= | ||
In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] this command also works with undefinde variables. | In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] this command also works with undefinde variables. | ||
− | :{{example|<div><code><nowiki>MatrixRank | + | :{{example|<div><code><nowiki>MatrixRank({{1, 2}, {k*1, k*2}})</nowiki></code> yields ''1''.</div>}} |
}} | }} |
Revision as of 17:37, 29 September 2017
- MatrixRank( <Matrix> )
- Returns the rank of given matrix.
- Examples:
MatrixRank({{2, 2}, {1, 1}})
yields 1.MatrixRank({{1, 2}, {3, 4}})
yields 2.- Let
A = {{1, 2, 3}, {1, 1, 1}, {2, 2, 2}}
be a 3x3-matrix.MatrixRank(A)
yields 2.
Hint: In the CAS View this command also works with undefinde variables.
- Example:
MatrixRank({{1, 2}, {k*1, k*2}})
yields 1.