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Question 250016
JEE Mathematics · Hard

Matrices and Determinants: JEE Advanced MCQ

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JEE AdvancedHardQuestion 250016

Question

If A is a 3×3 matrix with det(A) = 6, then det(adj(A)) equals:
  1. A
    36
    Correct
  2. B
    6
  3. C
    216
  4. D
    1/6

Correct answer

36

Explanation

For an n×n matrix, det(adj(A)) = (det A)^(n−1). Here n = 3: det(adj(A)) = 6² = 36.

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