Difference between revisions of "SVD Command"

Revision as of 09:47, 16 September 2015

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 2: / Line 2: @@
 ;SVD[ <Matrix> ]
 :Returns the [https://en.wikipedia.org/wiki/Singular_value_decomposition Singular Value Decomposition] of the matrix (as a list of 3 matrices)
-:{{example|1=<div><code><nowiki>SVD[{{1, 2}, {3, 4}}]</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}{}3.2&0\\0&3.5\\\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}}