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If [ a + B 2 5 B ] = [ 6 5 2 2 ] , Then Find A.

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प्रश्न

If \[\begin{bmatrix}a + b & 2 \\ 5 & b\end{bmatrix} = \begin{bmatrix}6 & 5 \\ 2 & 2\end{bmatrix}\] , then find a.

योग
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उत्तर

The corresponding elements of two equal matrices are equal.

\[\Rightarrow \begin{bmatrix}a + b & 2 \\ 5 & b\end{bmatrix} = \begin{bmatrix}6 & 5 \\ 2 & 2\end{bmatrix}\]

\[ \Rightarrow a + b = 6 . . . \left( 1 \right)\]

\[ \therefore b = 2\]

Putting the value of b in eq . ( 1 )

\[a + 2 = 6\]

\[ \Rightarrow a = 6 - 2\]

\[ \therefore a = 4\]

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अध्याय 4: Algebra of Matrices - Exercise 5.6 [पृष्ठ ६३]

APPEARS IN

आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 4 Algebra of Matrices
Exercise 5.6 | Q 40 | पृष्ठ ६३

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