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

A definition of the condition number for a matrix is given in the Maplet application.

By using the Norm drop-down box, control the norm used to determine the condition number.

By using the Matrix has real values check box, control the algorithm used to calculate the condition number. 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 Evaluate result check box, control whether the Maplet application returns the condition number for the matrix M or the calling sequence required to calculate the condition number in the worksheet.  The default behavior is to evaluate the result, that is, return the number.

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

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

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