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KCET2025MathematicsDeterminants

If A is a square matrix of order 3 3, det A=3 , then the value of det (3 A⁻¹ ) is

Options

  1. A1 3
  2. B3
  3. C27
  4. D9

Correct answer

D. 9

Step-by-step solution

|3 ~A ⁻¹ |=3^3 1 3 =9

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