MixedMediumQuestion 250019
Question
If A is a 3×3 matrix and det(A) = k, then det(3A) is:
- A27kCorrect
- B3k
- C9k
- Dk
Correct answer
27k
Explanation
det(cA) = cⁿ det(A) for an n×n matrix. Here c = 3, n = 3: det(3A) = 3³ × k = 27k.
JEE Mathematics · Medium
Matrices and Determinants: Mixed MCQ
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