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