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Non singular matrix - class-XII

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Multiple Choice

The number of value of $x$ in the closed interval $[-4,-1]$, the matrix $\begin{bmatrix} 3 & -1+x & 2 \ 3 & -1 & x+2 \ x+3 & -1 & 2 \end{bmatrix}$ is singular is 

  1. $0$
  2. $1$
  3. $2$
  4. $3$