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If [ X Y 4 Z + 6 X + Y ] = [ 8 W 0 6 ] , Write the Value of (X + Y + Z). - Mathematics

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प्रश्न

If  \[\begin{bmatrix}xy & 4 \\ z + 6 & x + y\end{bmatrix} = \begin{bmatrix}8 & w \\ 0 & 6\end{bmatrix}\] , write the value of (x + y + z).

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उत्तर

\[\begin{bmatrix}xy & 4 \\ z + 6 & x + y\end{bmatrix} = \begin{bmatrix}8 & w \\ 0 & 6\end{bmatrix}\]

Corresponding elements of equal matrices are equal . 

∴ z + 6 =  0 and x + y = 6

⇒z = - 6 and x + y = 6 

∴ Therefore, x + y + z = 6 - 6 = 0 .

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अध्याय 5: Algebra of Matrices - Exercise 5.6 [पृष्ठ ६४]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 5 Algebra of Matrices
Exercise 5.6 | Q 61 | पृष्ठ ६४

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