QS-DPT [ points) LetA, B n x :1 matrices. Suppose 1. la an eigenvalue of A. and _u is an eigenvalue of B. A. Verity by giving an example, that .1 + _u need not be an eigenvalue efA + B. B. Verify by giving an example. thatJLu need not be an eigenvalue of AB. C. Now suppose that 35 la a common eigenvectprefA and B, an that A} = l? and 3.? = . Verify that In 'thla case, .1 + p and Apr are eigenvalues of A. + B and AB. respectively