Find the value

Question:

Find the value of $x$ from the following: $\left|\begin{array}{cc}x & 4 \\ 2 & 2 x\end{array}\right|=0$

Solution:

$\left|\begin{array}{cc}x & 4 \\ 2 & 2 x\end{array}\right|=0$

$\Rightarrow 2 x^{2}-8=0$

$\Rightarrow 2 x^{2}=8$

$\Rightarrow x^{2}=\frac{8}{2}=4$

$\Rightarrow x=\sqrt{4}=\pm 2$

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