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Official PYQ · 2026

GATE EC 2026 Set 1 Q16 — Linear Algebra

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Consider the matrix M=[211130−1ab]\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 det⁡(M)≠0?\operatorname{det}(\mathrm{M}) \neq 0 ?

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Answer: B;D

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