Difference between revisions of "SVD Command"
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|vector-matrix}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|vector-matrix}} | ||
;SVD[ <Matrix> ] | ;SVD[ <Matrix> ] | ||
| − | :Returns the [ | + | :Returns the [[w:Singular_value_decomposition Singular|Value Decomposition]] of the matrix (as a list of 3 matrices). |
:{{example|1=<div><code><nowiki>SVD[{{3, 1, 1}, {-1, 3, 1}}]</nowiki></code> yields a list containing <math> \left(\begin{array}{}-0.71&0.71\\0.71&0.71\\\end{array}\right) </math>, <math> \left(\begin{array}{}3.16&0\\0&3.46\\\end{array}\right)</math>, <math>\left(\begin{array}{}-0.89&0.41\\0.45&0.82\\0&0.41\\\end{array}\right)</math>.</div>}} | :{{example|1=<div><code><nowiki>SVD[{{3, 1, 1}, {-1, 3, 1}}]</nowiki></code> yields a list containing <math> \left(\begin{array}{}-0.71&0.71\\0.71&0.71\\\end{array}\right) </math>, <math> \left(\begin{array}{}3.16&0\\0&3.46\\\end{array}\right)</math>, <math>\left(\begin{array}{}-0.89&0.41\\0.45&0.82\\0&0.41\\\end{array}\right)</math>.</div>}} | ||
| − | {{note|1=This command is also supported in the CAS View. The numbers in the answer may vary in order between the Algebra View and CAS View}} | + | {{note|1=This command is also supported in the [[File:Menu view cas.svg|link=|16px]] [[CAS View]]. The numbers in the answer may vary in order between the [[File:Menu view algebra.svg|link=|16px]] ''Algebra View'' and [[File:Menu view cas.svg|link=|16px]] ''CAS View''.}} |
Revision as of 10:30, 9 October 2015
- SVD[ <Matrix> ]
- Returns the Value Decomposition of the matrix (as a list of 3 matrices).
- Example:
SVD[{{3, 1, 1}, {-1, 3, 1}}]yields a list containing \left(\begin{array}{}-0.71&0.71\\0.71&0.71\\\end{array}\right) , \left(\begin{array}{}3.16&0\\0&3.46\\\end{array}\right), \left(\begin{array}{}-0.89&0.41\\0.45&0.82\\0&0.41\\\end{array}\right).
Note: This command is also supported in the 
CAS View. The numbers in the answer may vary in order between the 
Algebra View and CAS View.
CAS View. The numbers in the answer may vary in order between the Algebra View and CAS View.
