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Consider the matrix $\mathrm{M}=\left[\begin{array}{ccc}2 & 1 & 1 \\ 1 & 3 & 0 \\ -1 & a & b\end{array}\right]$.

Which of the following options is/ are TRUE if $\operatorname{det}(\mathrm{M}) \neq 0 ?$

  1. $a=-\frac{1}{2}$ and $b=-\frac{1}{2}$
  2. $a=\frac{1}{2}$ and $b=\frac{1}{2}$
  3. $a=-3$ and $b=0$
  4. $a=\frac{1}{2}$ and $b=-3$

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