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Question 250011
JEE Mathematics · Medium

Matrices and Determinants: Properties MCQ

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PropertiesMediumQuestion 250011

Question

If A and B are square matrices of same order, then det(AB) equals:
  1. A
    det(A) × det(B)
    Correct
  2. B
    det(A) + det(B)
  3. C
    det(A) − det(B)
  4. D
    det(B) × det(A⁻¹)

Correct answer

det(A) × det(B)

Explanation

Product rule for determinants: det(AB) = det(A) × det(B). This is a fundamental property.

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