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

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

$\mathrm{Pseudoinverse}\left(⟨⟨a\,c⟩|⟨b\,d⟩⟩\right)$

$\left[\begin{array}{cc}\frac{d}{ad-bc}& -\frac{b}{ad-bc}\\ -\frac{c}{ad-bc}& \frac{a}{ad-bc}\end{array}\right]$

$M≔⟨⟨1\,3⟩⟩$

$M≔\left[\begin{array}{c}1\\ 3\end{array}\right]$

$\mathrm{Mi}≔\mathrm{Pseudoinverse}\left(M\right)$

$\mathrm{Mi}≔\left[\begin{array}{cc}\frac{1}{10}& \frac{3}{10}\end{array}\right]$

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

For more information on Maple 2020 changes, see Updates in Maple 2020.