CUET · MATHS · PYQ PAPER 2023
The value of \(|\text{adj}(2A)|\), if \(A = [a_{ij}]_{3 \times 3}\) and \(|A| = 2\) is:
- A 256
- B 128
- C 512
- D 16
Answer & Solution
Correct Answer
(A) 256
Step-by-step Solution
Detailed explanation
\(|\text{adj}(2A)| = |2A|^{3-1}\) \(|\text{adj}(2A)| = |2A|^2\) \(|\text{adj}(2A)| = (2^3|A|)^2\) \(|\text{adj}(2A)| = (8|A|)^2\) \(|\text{adj}(2A)| = (8 \times 2)^2\) \(|\text{adj}(2A)| = (16)^2\) \(|\text{adj}(2A)| = 256\)
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