Solve the following problems (show your work). (a) (1 point). Give example of 2 x 2 non-zero matrices A, B, C such that AB = AC but B+C. (b) (1 point). Write 2 x 2 invertible matrices A and B such that A+B is not invertible. (c) (2 points). Write 3 x 3 singular matrices A and B such that A - B is non-singular.