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CUET · MATHS · PYQ PAPER 2023

If \(A\) is a square matrix of order 3 such that \(|A|=2\), then \(\operatorname{adj}(\operatorname{adj} A)\) is :

  1. A 0
  2. B 2
  3. C 16
  4. D -16
Verified Solution

Answer & Solution

Correct Answer

(C) 16

Step-by-step Solution

Detailed explanation

\(\left|\operatorname{adj}(\operatorname{adj} A)\right| = |A|^{(n-1)^2}\) \(\left|\operatorname{adj}(\operatorname{adj} A)\right| = 2^{(3-1)^2}\) \(\left|\operatorname{adj}(\operatorname{adj} A)\right| = 2^{2^2}\) \(\left|\operatorname{adj}(\operatorname{adj} A)\right| = 2^4\)…