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JEE Math Practice Question

Let A be a 2 $$\times$$ 2 matrix with det (A) = $$-$$ 1 and det ((A + I) (Adj (A) + I)) = 4. Then the sum of the diagonal elements of A can be :

  1. A.$$-$$1
  2. B.2
  3. C.1
  4. D.$$- \sqrt2$$

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