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CUET · MATHS · PYQ PAPER 2025

If \(A\) is a square matrix of order 3 and \(|A|=4\), then the value of \(\left|2 A^T\right|\) is

  1. A 8
  2. B \(-8\)
  3. C \(-32\)
  4. D 32
Verified Solution

Answer & Solution

Correct Answer

(D) 32

Step-by-step Solution

Detailed explanation

\(\left|2 A^T\right| = 2^3 \left|A^T\right|\) \(= 8 |A|\) \(= 8 \times 4\) \(= 32\)