Question: Let A be a matrix with linearly independent columns and let P = A (ATA)-1 AT be the matrix of orthogonal projection onto col(A). (a)

Let A be a matrix with linearly independent columns and let P = A (ATA)-1 AT be the matrix of orthogonal projection onto col(A).
(a) Show that P is symmetric.
(b) Show that P is idempotent.

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