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CUET · MATHS · PYQ PAPER 2025

If A is a square matrix of order 3 and \(|A|=-5\), then \(|3 A|\) is equal to

  1. A \(-135\)
  2. B \(-15\)
  3. C 135
  4. D 45
Verified Solution

Answer & Solution

Correct Answer

(A) \(-135\)

Step-by-step Solution

Detailed explanation

\(|kA| = k^n |A|\) \(|3A| = 3^3 |A|\) \(|3A| = 27 \times (-5)\) \(|3A| = -135\)