CUET · MATHS · PYQ PAPER 2025
Given a matrix A of order \(3 \times 3\). If \(|A|=3\) then the value of \(|A(\operatorname{adj} A)|\) is:
- A 3
- B 27
- C 9
- D 81
Answer & Solution
Correct Answer
(B) 27
Step-by-step Solution
Detailed explanation
\(A(\operatorname{adj} A) = |A|I_n\) \(A(\operatorname{adj} A) = 3 I_3\) \(|A(\operatorname{adj} A)| = |3 I_3|\) \(|3 I_3| = 3^3 |I_3|\) \(|3 I_3| = 27 \times 1 = 27\)
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