29. Create the following three matrices:

, ,

(a) Calculate and to show that addition of matrices is commutative.

(b) Calculate A*(B*C) and (A*B)*C to show that multiplication of matrices is associative.

(c) Calculate 5(B+C) and 5B+5C to show that, when matrices are multiplied by a scalar, the multiplication is distributive.

(d) Calculate (A+B)*C and A*C+B*C to show that matrix multiplication is distributive.