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प्रश्न
If \[\begin{bmatrix}a - b & 2a + c \\ 2a - b & 3c + d\end{bmatrix} = \begin{bmatrix}- 1 & 5 \\ 0 & 13\end{bmatrix}\] , find the value of b.
बेरीज
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उत्तर
\[\begin{bmatrix}a - b & 2a + c \\ 2a - b & 3c + d\end{bmatrix} = \begin{bmatrix}- 1 & 5 \\ 0 & 13\end{bmatrix}\]
Corresponding elements of equal matrices are equal .
\[ \Rightarrow a - b =\text{ - 1 and } 2a - b = 0\]
\[ \Rightarrow a - b =\text{- 1 and }2a = b\]
\[ \Rightarrow a - 2a = \text{- 1 and } 2a = b\]
\[ \Rightarrow a = \text{1 and }2a = b\]
\[ \Rightarrow a = \text{1 and } b = 2\]
Hence, the value of b is 2.
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