Hampton Morrison
04/12/2023 · Senior High School

17. a). Find \( \mathrm{A}^{-1} \),the inverse of matrix \( \mathrm{A}=\left(\begin{array}{ll}5 & 6 \\ 7 & 9\end{array}\right) \) 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.

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- 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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