SVD Command

SVD( <Matrix> ): Returns the Singular Value Decomposition of the matrix (as a list of 3 matrices).

SVD({{3, 1, 1}, {-1, 3, 1}}) yields a list containing $\left(\begin{array}{rr}-0.71&0.71\\0.71&0.71\\\end{array}\right)$ , $\left(\begin{array}{rr}3.16&0\\0&3.46\\\end{array}\right)$ , $\left(\begin{array}{rr}-0.89&0.41\\0.45&0.82\\0&0.41\\\end{array}\right)$ .

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