Create the following three matrices:

(a) Calculate A + B and B + A to show that addition of matrices is commutative.
(b) Calculate A + (B + C) and (A + B) + C to show that addition of matrices is associative.
(c) Calculate 3(A + C) and 3A + 5C to show that, when matrices are multiplied by a scalar, the multiplication is distributive.
(d) Calculate A*(B + C) and A* B + A*C to show that matrix multiplication is distributive.

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