Show $AA^+$ is projection matrix onto the column space, where $A^+$ is the pseudoinverse.
Intro to Linear Algebra by Strang, doesn't seem to provide a proof of this. My understanding is that a matrix is a projection if $P=P^2$.
Show $AA^+$ is projection matrix onto the column space, where $A^+$ is the pseudoinverse.
Intro to Linear Algebra by Strang, doesn't seem to provide a proof of this. My understanding is that a matrix is a projection if $P=P^2$.
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