The bookshop of a particular school has 10 dozen chemistry books, 8 dozen physics books, 10 dozen economics books. Their selling prices are Rs. 80, Rs. 60 and Rs. 40 each respectively. Find the total amount the bookshop will receive from selling all the books using matrix algebra.

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Solution

Let A be the stock matrix and B be the price matrix.

therefore straight A equals space open square brackets table row 120 96 120 end table close square brackets and space straight B equals space open square brackets table row 80 row 60 row 40 end table close square brackets space therefore straight A bold B bold equals bold space bold space open square brackets table row bold 120 bold 96 bold 120 end table close square brackets bold space open square brackets table row bold 80 row bold 60 row bold 40 end table close square brackets bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold equals bold space open square brackets table row cell bold 9600 bold plus bold 5760 bold plus bold 4800 end cell end table close square brackets bold space bold equals open square brackets table row bold 20160 end table close square brackets bold total bold space bold amount bold space bold received bold space bold equals bold space bold Rs bold. bold space bold 20160

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