Question: Let A Rmn and let be a solution to the least squares problem Ax = b. Show that a vector y Rn

Let A ∈ Rm×n and let be a solution to the least squares problem Ax = b. Show that a vector y ∈ Rn will also be a solution if and only if y = + z, for some vector z ∈ N(A). [N(ATA) = N(A).]

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