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For what value of x, the matrix $ \begin{bmatrix} 5-x & x+1 \\ 2 & 4 \end{bmatrix} $ is singular?

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  • If matrix A is singular then $\mid A\mid=0$
Step 1:
Let $A=\begin{bmatrix}5-x&x+1\\2&4\end{bmatrix}$
If matrix A is singular then
$\mid A\mid=\begin{vmatrix}5-x&x+1\\2&4\end{vmatrix}=0$
Step 2:
On expanding we get,
$\Rightarrow x=3$
answered Dec 2, 2013 by sreemathi.v

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