f Question 3 (30 marks) 0 2 -41 (a) Find the determinant and inverse (if existed) of the 3x3 square matrix A = -3 6 -3 (20 marks) 8 -4 0 15 0 11 (b) For matrix B = 0 -7 0 find four different elementary matrices E, E2, Es, and E. (each for performing li 0 0 a single elementary row operation) such that E,E, E = B and E, EE,= B, where {E, EEEEE) = {E1, E2, E3, E4), that is, each of E, E, E., E., E, and E, is from E, E), Ez, and E. AND each of E, E2, E3, and Ey must be used at least once. (10 marks)