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CBSE Class 12 Math 2012 Solved Paper

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Question : 3 of 29
Marks: +1, -0
If (2357)(1−3−24)\begin{pmatrix} 2 & 3 \\ 5 & 7 \end{pmatrix} \begin{pmatrix} 1 & -3 \\ -2 & 4 \end{pmatrix} = (−46−9x)\begin{pmatrix} -4 & 6 \\ -9 & x \end{pmatrix} , write the value of x.
Solution:  
(2357)(1−3−24)\begin{pmatrix} 2 & 3 \\ 5 & 7 \end{pmatrix} \begin{pmatrix} 1 & -3 \\ -2 & 4 \end{pmatrix} = (−46−913)\begin{pmatrix} -4 & 6 \\ -9 & 13 \end{pmatrix}
⇒ (−46−9x)\begin{pmatrix} -4 & 6 \\ -9 & x \end{pmatrix} = (−46−9x)\begin{pmatrix} -4 & 6 \\ -9 & x \end{pmatrix}
by equality of matrices
x = 13
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