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प्रश्न
If \[\begin{bmatrix}x + 3 & 4 \\ y - 4 & x + y\end{bmatrix} = \begin{bmatrix}5 & 4 \\ 3 & 9\end{bmatrix}\] , find x and y
उत्तर
The corresponding elements of two equal matrices are equal.
\[Given: \hspace{0.167em} \begin{bmatrix}x + 3 & 4 \\ y - 4 & x + y\end{bmatrix} = \begin{bmatrix}5 & 4 \\ 3 & 9\end{bmatrix}\]
\[x + 3 = \text{5 and y }- 4 = 3\]
\[ \Rightarrow x =\text{ 5 - 3 and }y = 3 + 4\]
\[ \Rightarrow x = \text{2 and y} = 7\]
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