A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A. 3 3 -9 15 1 2 0 1 A = 5 4 -18 29 0 1 3 - 4 2 1 -9 14 0 0 0 ... Find a basis for Col A. (Simplify your answer. Use a comma to separate answers as needed.) Find a basis for Nul A. (Simplify your answer. Use a comma to separate answers as needed.)

Determine whether S is a basis for R3. S = {(3, 2, 5), (0, 2, 5), (0, 0, 5)} O s is a basis for R3. O s is not a basis for R3. If S is a basis for R3, then write u = (9, 2, 15) as a linear combination of the vectors in S. (Use s1, 52, and s3, respectively, as the vectors in S. If not possible, enter IMPOSSIBLE.) u =