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CBSE Class 12 Math 2013 Solved Paper

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Question : 5 of 29
Marks: +1, -0
If [9−14−213]\begin{bmatrix} 9 & -1 & 4 \\ -2 & 1 & 3 \end{bmatrix} = A + [12−1049]\begin{bmatrix} 1 & 2 & -1 \\ 0 & 4 & 9 \end{bmatrix}, then find the matrix A.
Solution:  
[9−14−213]\begin{bmatrix} 9 & -1 & 4 \\ -2 & 1 & 3 \end{bmatrix} = A + [12−1049]\begin{bmatrix} 1 & 2 & -1 \\ 0 & 4 & 9 \end{bmatrix}
⇒ A = [9−14−213]\begin{bmatrix} 9 & -1 & 4 \\ -2 & 1 & 3 \end{bmatrix} - [12−1049]\begin{bmatrix} 1 & 2 & -1 \\ 0 & 4 & 9 \end{bmatrix}
⇒ A = [9−1−1−24+1−2−01−43−9]\begin{bmatrix} 9-1 & -1-2 & 4+1 \\ -2-0 & 1-4 & 3-9 \end{bmatrix}
⇒ A = [0−35−2−3−6]\begin{bmatrix} 0 & -3 & 5 \\ -2 & -3 & -6 \end{bmatrix}
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