imo class 12 determinants

If A is a 3×3 matrix with |A| = 2, find the value of |adj(adj A)|.

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If A is a 3×3 matrix with |A| = 2, find the value of |adj(adj A)|.

  • A. 4
  • B. 8
  • C. 16
  • D. 2

Answer: C) 16

Explanation: The formula is |adj(adj A)| = |A|^((n-1)²). Here n=3, so |adj(adj A)| = 2^((3-1)²) = 2⁴ = 16.

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