Solve itt...

a) Solve the LU decomposition of A = 3 2 b) Use to calculate two solutions x1 and x2 satisfying the equations O Ax1 = and Ax2 = - c) use solutions to form matrices B = (X1, X2) where (Xi forms j colum of B) d) verify B is inverse of A e) how can this be extended to find the inverse of a general n x n matrix f) calculate approximation to smallest eigenvalue of 3 1 4 2 by calculating 3 iterations of inverse power method starting with V (0) = (1,1 ) T