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प्रश्न
If \[\begin{bmatrix}9 & - 1 & 4 \\ - 2 & 1 & 3\end{bmatrix} = A + \begin{bmatrix}1 & 2 & - 1 \\ 0 & 4 & 9\end{bmatrix}\] , then find matrix A.
बेरीज
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उत्तर
\[\begin{bmatrix}9 & - 1 & 4 \\ - 2 & 1 & 3\end{bmatrix} = A + \begin{bmatrix}1 & 2 & - 1 \\ 0 & 4 & 9\end{bmatrix}\]
\[ \Rightarrow A = \begin{bmatrix}9 & - 1 & 4 \\ - 2 & 1 & 3\end{bmatrix} - \begin{bmatrix}1 & 2 & - 1 \\ 0 & 4 & 9\end{bmatrix}\]
\[ = \begin{bmatrix}9 - 1 & - 1 - 2 & 4 + 1 \\ - 2 - 0 & 1 - 4 & 3 - 9\end{bmatrix}\]
\[ = \begin{bmatrix}8 & - 3 & 5 \\ - 2 & - 3 & - 6\end{bmatrix}\]
\[\text{Hence, the matrix A} = \begin{bmatrix}8 & - 3 & 5 \\ - 2 & - 3 & - 6\end{bmatrix} .\]
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