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GATE EC 2026 Set 1 — Question 26

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MSQ+1 / -0MediumDeterminantsLinear AlgebraEngineering Mathematics

Engineering Mathematics → Linear Algebra → Determinants

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Question

Consider the matrix M=[211130−1ab]M = \begin{bmatrix} 2 & 1 & 1 \\ 1 & 3 & 0 \\ -1 & a & b \end{bmatrix}.
Which of the following options is/ are TRUE if det⁡(M)≠0\det(M) \neq 0?
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