Answer the following:
(i) State the meaning of the commutative property with respect to multiplication of two square matrices of the same order.
(ii) Using the definition of matrix multiplication, explain—without numerical computation—why the commutative property need not hold for two general 2×2 matrices.
(iii) Construct your own pair of 2×2 matrices C and D (with integer entries) that clearly demonstrate CD=DC. Show all working to substantiate your claim.