CUET · MATHS · PYQ PAPER 2023
If \(A\) is a non-singular square matrix of order 3 such that \(A^3=4 A^2\), then the value of \(|A|\) is:
- A 16
- B 64
- C 4
- D 8
Answer & Solution
Correct Answer
(B) 64
Step-by-step Solution
Detailed explanation
\(|A^3| = |4A^2|\) \((|A|)^3 = 4^3 (|A|)^2\) \((|A|)^3 = 64 (|A|)^2\) \(|A| = 64\) (since \(A\) is non-singular, \(|A| \neq 0\))
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