imo class 12 determinants

If A and B are non-singular 3×3 matrices such that |A| = 2 and |B| = 3, then |2AB⁻¹| equals:

VAVidaara Admin Asked 8d ago 0 views 0 answers

If A and B are non-singular 3×3 matrices such that |A| = 2 and |B| = 3, then |2AB⁻¹| equals:

  • A. 16/3
  • B. 4/3
  • C. 8/3
  • D. 2/3

Answer: A) 16/3

Explanation: |2AB⁻¹| = 2³ |A| |B⁻¹| = 8 × 2 × (1/3) = 16/3.

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