Five marks exercise problem IV — task. Mathematics State Board, Class 10.

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Let \(A =\)

(\begin{array}{l} 1 & 2 \\ 1 & 3 \end{array})

, \(B =\)

(\begin{array}{l} 4 & 0 \\ 1 & 5 \end{array})

, \(C =\)

(\begin{array}{l} 2 & 0 \\ 1 & 2 \end{array})

. Show that

(i) \(A(BC) = (AB)C\)

(ii) \((A - B)C = AC - BC\)

(iii) \((A - B)^T = A^T - B^T\)

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18. Five marks exercise problem IV