3 -6 6 4 -5 0 -2 3 0 -24 3. Let B = 3 -7 8 -5 8 9 1 2 0 -7 CO -9 12 -9 6 15 0 0 01 If . (a) Write down a basis for col(B), and state its dimension. (b) Write the last column of the matrix as a linear combination of the basis elements of col( A).() Find a basis for null(A), and state its dimension. Using part (a), verify the rank-nullity theorem in this case