Difference between revisions of "SVD Command"

Revision as of 12:42, 7 September 2016

SVD[ <Matrix> ]: Returns the Singular 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.

@@ Line 1: / Line 1: @@
 <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|vector-matrix}}
 ;SVD[ <Matrix> ]
-:Returns the [[w:Singular_value_decomposition Singular|Value Decomposition]] of the matrix (as a list of 3 matrices).
+: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>}}
 {{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''.}}