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Question
If \[\begin{bmatrix}x & 1\end{bmatrix}\begin{bmatrix}1 & 0 \\ - 2 & 0\end{bmatrix} = O\] , find x.
Solution
\[\begin{bmatrix}x & 1\end{bmatrix}\begin{bmatrix}1 & 0 \\ - 2 & 0\end{bmatrix} = O\]
\[ \Rightarrow \begin{bmatrix}x - 2 & 0 + 0\end{bmatrix} = \begin{bmatrix}0 & 0\end{bmatrix}\]
\[ \Rightarrow \begin{bmatrix}x - 2 & 0\end{bmatrix} = \begin{bmatrix}0 & 0\end{bmatrix}\]
\[ \Rightarrow x - 2 = 0\]
\[ \Rightarrow x = 2\]
∴ x = 2.
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