Problem 3. Let W be the subspace in R' spanned by W1 = (1, -2, -2,1,1), W2 = (2, 1,4, -4,2), W3 = (5,-4, -3, 7,1). = = > (a) Find K, b, and c so that the minimization problem min x Kx 267x XER3 = corresponds to finding the projection Pw(v) of v Section 5.3.) (1,2,3,4,5)7 onto W. (As in class, or in (b) Find the projection matrix P, so that for any v ER5, Pw(v) = Pv. = > 2 Problem 3. Let W be the subspace in R' spanned by W1 = (1, -2, -2,1,1), W2 = (2, 1,4, -4,2), W3 = (5,-4, -3, 7,1). = = > (a) Find K, b, and c so that the minimization problem min x Kx 267x XER3 = corresponds to finding the projection Pw(v) of v Section 5.3.) (1,2,3,4,5)7 onto W. (As in class, or in (b) Find the projection matrix P, so that for any v ER5, Pw(v) = Pv. = > 2