For what value of x, the following matrix is singular? begin{bmatrix}5 - x & x + 1 2 & 4end{bmatrix} (2024)

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For matrix $$ \begin{bmatrix}5 - x & x + 1 \\2 & 4\end{bmatrix} $$ being singular

$$ \Bigg|\begin{matrix} 5 - x & x + 1 \\2 & 4\end{matrix}\Bigg| = 0$$

$$\Rightarrow 20 - 4x - 2x - 2 = 0 $$

$$\Rightarrow 18 - 6x = 0 $$

$$\Rightarrow 6x = 18$$

$$\Rightarrow x = \cfrac{18}{6} = 3 $$

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For what value of x, the following matrix is singular? begin{bmatrix}5 - x & x + 1 2 & 4end{bmatrix} (2024)
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