Difference between revisions of "SVD Command"
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:{{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 [[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''. | + | {{note|1=<div> |
| − | + | *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''. | |
* See also [[Eigenvalues Command]], [[Eigenvectors Command]], [[Invert Command]], [[Transpose Command]], [[JordanDiagonalization Command]] | * See also [[Eigenvalues Command]], [[Eigenvectors Command]], [[Invert Command]], [[Transpose Command]], [[JordanDiagonalization Command]] | ||
</div>}} | </div>}} | ||
Revision as of 09:04, 29 June 2018
- 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. - See also Eigenvalues Command, Eigenvectors Command, Invert Command, Transpose Command, JordanDiagonalization Command
