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GATE CH 2022 | Question: 2

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Given matrix $A = \begin{bmatrix} x & 1 & 3\\ y & 2 & 6\\ 3 & 5 & 7 \end{bmatrix}$, the ordered pair $(x, y)$ for which $\text{det}(A) = 0 $ is

  1. $(1, 1)$
  2. $(1, 2)$
  3. $(2, 2)$
  4. $(2, 1)$
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