Given A=\left(\begin{array}{ll} 1 & 2 \\ 4 & 3 \end{array}\right) ; \quad B=\left(\begin{array}{ll} 2 & 5 \\ 6 & 1 \end{array}\right) ; \quad C=\left(\begin{array}{cc} 2 & -5 \\ -1 & 3 \end{array}\right) ; \quad D=\left(\begin{array}{l} 3 \\ 1 \end{array}\right) ; \quad E=\left(\begin{array}{ll} -1 & 2 \end{array}\right) write down a21, b12 and c22- (b) find: (i) A + A(ii) A-B(iii) 4C (c) form, where possible,explain why the product is not defined, AB, CD, DC, EEor (d) find N such that NDT ND(= N²Dt D) = 1 (e) do A and B commute; do A and C commute? (f) determine (AB)C and A(BC) (associative property) and comment on the results regarding the associative properties of matrices. (g) determine AC + BC and (A + B)C, and comment on the results regarding the distributive properties of matrices.

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