I need to prove that for every vector $x ∈ \mathbb{R}^m$, $(AA^+)x$ is the orthogonal projection of $x$ onto $\operatorname{Col}(A)$, where $A^+$ is the Moore-Penrose pseudoinverse of $A$.
I don't know where to begin on this proof.
2026-03-26 10:58:33.1774522713
I need help proving something about the pseudoinverse?
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