Given a matrix $\mathbf{A}$ and $\mathbf{P_A}$ as the orthogonal projection of its column space, is there a necessary and sufficient condition for $\mathbf{AP_A} = \mathbf{A}$?
2026-03-27 22:52:57.1774651977
When is $\mathbf{A} \mathbf{P_A} = \mathbf{A}$ where $\mathbf{P_A}$ is the orthogonal projection matrix of the column space of $\mathbf{A}$?
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