This page is a sub-page of our page on Linear Algebra.

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Def: The mapping g is an inverse of the mapping f if:
g \circ f = f \circ g = id.

Def: The mapping g is a (Moore-Penrose) pseudoinverse of the mapping f if:
f \circ g \circ f = f.

The pseudoinverse of a matrix can be computed like this:

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