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Question 250008
JEE Mathematics · Medium

Matrices and Determinants: Determinant 3×3 MCQ

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Determinant 3×3MediumQuestion 250008

Question

If det(A) = 5 and A is 3×3, then det(2A) is:
  1. A
    40
    Correct
  2. B
    10
  3. C
    160
  4. D
    5

Correct answer

40

Explanation

For an n×n matrix, det(kA) = kⁿ det(A). Here n = 3, k = 2: det(2A) = 2³ × 5 = 8 × 5 = 40.

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