Determine whether each is true or false. You do not need to justify your answer.

2. (2 Points each, 10 points total) True/false. Determine whether each is true or false. You do not need to justify your answer. (a) det(AB) = det(A) det(B) for any n x mmatrim A, B. (b) If any 6 R" and 3:3")! 549 0, then x, y are linearly dependent. (c) If [.th are both linear operators from a vector space V to a vector space W, then L1 + L2 is a linear operator from V to W. (d) The dimension of the null space of a matrix A is the number of lead variables in the row reduced echelon form of A. (e) Let A be an n x 31 matrix, and x;,x2 be nonzero vectors in R" so that Axl = x1 and Ax: = x2. Then in and 3:2 are linearly independent