071 (13 Q 1 Consider the matrix A = [ i g ]. (For each of the question parts, briey justify your answer and show your work step-bystep. Correct answers not supported by substantive explanations will receive no credit.) (a) (1 point) Use GramSchmidt to nd an orthogonal basis W = {11712175} for R2 such that span(7f) = span(17f). (b) (1 point) Divide each basis vector in W by its length to nd an orthonormal basis 3 = {51), 172'} a: . a) (12.3)] 0 (I; - a3) ' (d) (1 point) If B = [1:1, 172'] and M is as in Part (c), show that A = BM. Note that M is triangular, and the columns of B are orthogonal vectors each with length 1. (c) (1 point) Find the matrix M = l