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NDA 2026 · PYQ · Matrices / Adjoint · easy

If M = [[2,0,0],[0,2,0],[0,0,2]], then what is the value of |M| |adj M|?

Answer

The correct answer is D: 512. |M| = 2³ = 8. For a 3×3 matrix, |adj M| = |M|^(n−1) = |M|² = 64.

  1. A.8
  2. B.64
  3. C.256
  4. D.512✓ Correct

Explanation

|M| = 2³ = 8. For a 3×3 matrix, |adj M| = |M|^(n−1) = |M|² = 64. So |M|·|adj M| = 8 × 64 = 512.
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