Least-squares solution to a linear system of equations: The general solution was given in…

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Least-squares solution to a linear system of equations: The general solution was given in Equation (2.3.4–2.3.5).

(a) Show that if y belongs to the column space of A, then  = y.

(b) Show that if y is orthogonal to the column space of A, then  = 0