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NDA 2026 · PYQ · Matrices and Determinants · easy

If A is a square matrix such that |A| = −2, then |AAᵀ|, where Aᵀ is the transpose of A, is equal to

  1. A.−4
  2. B.1
  3. C.2
  4. D.4✓ Correct

Explanation

|AAᵀ| = |A|·|Aᵀ| = |A|·|A| = |A|² = (−2)² = 4.
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