(c) [5 points] Consider the real vector space R4. Let = C1 = = (2, -1,-1,-1), C2 = (1, 2, -1, -3), C3 = (-1,3,0, -2) Det

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C 5 Points Consider The Real Vector Space R4 Let C1 2 1 1 1 C2 1 2 1 3 C3 1 3 0 2 Det 1 (72.98 KiB) Viewed 28 times

(c) [5 points] Consider the real vector space R4. Let = C1 = = (2, -1,-1,-1), C2 = (1, 2, -1, -3), C3 = (-1,3,0, -2) Determine whether C1, C2, and c3 are linearly dependent. Find the dimension and a basis for the subspace span {C1, C2, C3}. (d) [7 points] Suppose that W = {Y1, Y2, ..., Yn} is a basis for R. Show that if M is an n xn invertible matrix, then R = {Myı, MY2, ..., Myn} is linearly independent.