a) Solve the LU decomposition of 3 1 A = 4 b) Use to calculate two solutions x1 and x2 satisfying the equations 1 Ax1 = and Ax2 = 1 c) use solutions to form matrices B = (X1, X2) where (Xi forms j olum of B) d) verify B is inverse of A e) how can this be extended to find the inverse of a general n xn matrix 1 f) calculate approximation to smallest eigenvalue of 4 2 by calculating 3 iterations of inverse power method starting with (1,1) "