PseudoInverse
PseudoInverse[m] finds the pseudoinverse (Moore-Penrose inverse) of a rectangular matrix.
Examples
Pseudoinverse of a rectangular matrix:
PseudoInverse[{{1, 2}, {3, 4}, {5, 6}}]
(* {{-4/3, -1/3, 2/3}, {13/12, 1/3, -5/12}} *)For a square matrix equals inverse:
PseudoInverse[{{1, 2}, {3, 4}}]
(* {{-2, 1}, {3/2, -1/2}} *)Please visit the official Wolfram Language Reference for more details.