The SingularValues(M) calling sequence displays a Maplet application that returns the condition number for the matrix M.

A definition of the singular values of a matrix is given in the Maplet application.

By using the Output drop-down box, control the output returned to the worksheet.

By using the Matrix has real values check box, control the algorithm used. If the matrix has real entries, a faster algorithm can be used. The default value is determined by using the value of $\mathrm{has}\left(M\,\mathrm{I}\right)$, which returns true if M has complex entries. That is, it is selected, by default, only if M has no complex entries.

Note: If Matrix has real values is selected and the matrix has any complex entries, an incorrect result may be returned.

By using the Return read-only vector or matrix(ces) check box, control whether the vector or matrix(ces) returned by the Maplet application are read-only. The default behavior is that the vector or matrix(ces) returned are not read-only.

By using the Evaluate result check box, control whether the Maplet application returns the output requested or the calling sequence required to calculate this output in the worksheet. The default behavior is to evaluate the result, that is, return the requested output.

The SingularValues sample Maplet worksheet demonstrates how to write a Maplet application that functions similarly to the Maplet application displayed by this routine.

$\mathrm{with}\left(\mathrm{Maplets}\left[\mathrm{Examples}\right]\left[\mathrm{LinearAlgebra}\right]\right)\:$

$\mathrm{SingularValues}\left(⟨⟨1\,3⟩\left|⟨2\,5⟩\right|⟨5\,7⟩⟩\right)$