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Question
if \[\begin{bmatrix}2x + y & 3y \\ 0 & 4\end{bmatrix} = \begin{bmatrix}6 & 0 \\ 6 & 4\end{bmatrix}\] , then find x.
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Solution
The corresponding elements of two equal matrices are equal.
\[Given: \hspace{0.167em} \begin{bmatrix}2x + y & 3y \\ 0 & 4\end{bmatrix} = \begin{bmatrix}6 & 0 \\ 6 & 4\end{bmatrix}\]
\[2x + y = 6 . . . \left( 1 \right) \]
\[3y = 0\]
\[ \Rightarrow y = 0\]
Putting the value of y in eq . ( 1 )
\[2x + 0 = 6\]
\[ \Rightarrow 2x = 6\]
\[ \Rightarrow x = \frac{6}{2}\]
\[ \therefore x = 3\]
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