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  • Please solve RD Sharma class 12 chapter Algebra of matrices exercise 4.3 question 73 maths textbook solution

Please solve RD Sharma class 12 chapter Algebra of matrices exercise 4.3 question 73 maths textbook solution

Answers (1)

Answer: Amount spent on X=Rs 3400 Amount spent on Y=Rs 7200

Hint: Matrix multiplication is only possible, when the number of columns of first matrix is equal to the number of rows of second matrix.

Given:   

A=\left[\begin{array}{c} 40 \\ 100 \\ 50 \end{array}\right]

The number of contacts of each type made in two cities X and Y is given in matrix B as

B=\left[\begin{array}{ccc}1000 & 500 & 5000 \\ 3000 & 1000 & 10000\end{array}\right] \begin{array}{c}X \\Y \end{array}

Total amount spent by the group on the two cities X and Y can be given by.

\\B A=\left[\begin{array}{ccc}1000 & 500 & 5000 \\ 3000 & 1000 & 10000\end{array}\right]\left[\begin{array}{c}40 \\ 100 \\ 50\end{array}\right]\\\\ =\left[\begin{array}{c}40000+50000+250000 \\ 120000+100000+500000\end{array}\right]\\\\ =\left[\begin{array}{l}340000 \\ 720000\end{array}\right]

As we know 100 paise=Rs 1

Hence,

Amount spent on X=Rs 3400

Amount spent on Y=Rs 7200

Posted by

infoexpert22

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