Let A be an m times n with rank n and let At denote its pseu

Let A be an m times n with rank n and let At denote its pseudo-inverse. Determine if the operators given in a.-b. are projection operators. If so, what subspaces do they project onto? AA I - AA

Solution

Answer is B

A is matrix with rank n.

Pseudo inverse means generalized inverse.

A is projection operator

A= A^#

^AA# =I

therfore I-AA^#