Student[LinearAlgebra] - Maple Programming Help

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Student[LinearAlgebra]

 Pseudoinverse
 compute the Moore-Penrose pseudo-inverse of a Matrix

 Calling Sequence Pseudoinverse(A)

Parameters

 A - Matrix

Description

 • The Pseudoinverse(A) function returns the Moore-Penrose pseudo-inverse matrix.

Examples

 > $\mathrm{with}\left(\mathrm{Student}\left[\mathrm{LinearAlgebra}\right]\right):$
 > $\mathrm{Pseudoinverse}\left(⟨⟨a,c⟩|⟨b,d⟩⟩\right)$
 $\left[\begin{array}{cc}\frac{{d}}{{a}{}{d}{-}{b}{}{c}}& {-}\frac{{b}}{{a}{}{d}{-}{b}{}{c}}\\ {-}\frac{{c}}{{a}{}{d}{-}{b}{}{c}}& \frac{{a}}{{a}{}{d}{-}{b}{}{c}}\end{array}\right]$ (1)
 > $M≔⟨⟨1,3⟩⟩$
 ${M}{≔}\left[\begin{array}{c}{1}\\ {3}\end{array}\right]$ (2)
 > $\mathrm{Mi}≔\mathrm{Pseudoinverse}\left(M\right)$
 ${\mathrm{Mi}}{≔}\left[\begin{array}{cc}\frac{{1}}{{10}}& \frac{{3}}{{10}}\end{array}\right]$ (3)

Compatibility

 • The Student[LinearAlgebra][Pseudoinverse] command was introduced in Maple 2020.