SVD Command

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