imo class 12 determinants

If A = [2 3; 1 4], what is the adjoint of A?

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If A = [2 3; 1 4], what is the adjoint of A?

  • A. [4 -3; -1 2]
  • B. [-4 3; 1 -2]
  • C. [4 3; 1 2]
  • D. [2 1; 3 4]

Answer: A) [4 -3; -1 2]

Explanation: For a 2×2 matrix, swap diagonal elements and change the signs of off-diagonal elements. So [2 3; 1 4] becomes [4 -3; -1 2].

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