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Find the Value of Y, If [ X − Y 2 X 5 ] = [ 2 2 3 5 ]

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Question

Find the value of y, if \[\begin{bmatrix}x - y & 2 \\ x & 5\end{bmatrix} = \begin{bmatrix}2 & 2 \\ 3 & 5\end{bmatrix}\]

Sum
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Solution

\[Given: \begin{bmatrix}x - y & 2 \\ x & 5\end{bmatrix} = \begin{bmatrix}2 & 2 \\ 3 & 5\end{bmatrix}\]

\[\text{The corresponding elements of two equal matrices are equal} . \]

\[ \therefore x - y = 2 . . . \left( 1 \right) \]

and x = 3

Putting the value of x in eq . (1)

\[3 - y = 2\]

\[ \Rightarrow 3 - 2 = y\]

\[ \therefore y = 1\]

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Chapter 4: Algebra of Matrices - Exercise 5.6 [Page 63]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 4 Algebra of Matrices
Exercise 5.6 | Q 35 | Page 63

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