17. a). Find $$ \mathrm{A}^{-1} $$,the inverse of matrix $$ \mathrm{A}=\left(\begin{array}{ll}5 & 6 \ 7 & 9\end{array} ight) $$ b) Okello bought 5 physics books and 6 mathematics books for a total of Ksh 2,440 .Ali bought 7 physics books and 9 mathematics books for a total of ksh 3,560 . (i) Form a matrix equation to represent the above information. (ii) Use matrix method to find the price of a physics book and that of a mathematics book. c) A school bought 36 physics books and 50 mathematics books. A discount of $$ 5 \% $$ was allowed on each physics book whereas a discount of $$ 8 \% $$ was allowed on each mathematic book. Calculate the percentage discount in the cost of all the books bought.

Question

17. a). Find $$ \mathrm{A}^{-1} $$,the inverse of matrix $$ \mathrm{A}=\left(\begin{array}{ll}5 & 6 \ 7 & 9\end{array}ight) $$ b) Okello bought 5 physics books and 6 mathematics books for a total of Ksh 2,440 .Ali bought 7 physics books and 9 mathematics books for a total of ksh 3,560 . (i) Form a matrix equation to represent the above information. (ii) Use matrix method to find the price of a physics book and that of a mathematics book. c) A school bought 36 physics books and 50 mathematics books. A discount of $$ 5 \% $$ was allowed on each physics book whereas a discount of $$ 8 \% $$ was allowed on each mathematic book. Calculate the percentage discount in the cost of all the books bought.

Brewer Chandler · Accepted Answer

- Part a: $$ \mathrm{A}^{-1} = \begin{pmatrix} 3 & -2 \ -\frac{7}{3} & \frac{5}{3} \end{pmatrix} $$ - Part b: Physics book price = 200 Ksh, Mathematics book price = 240 Ksh - Part c: Total discount percentage = approximately $$ 6.88\% $$

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