CUET · MATHS · PYQ PAPER 2023
If A is a square matrix of order \(3 \times 3\) and \(\left|A^T\right|=-3\), then \(\left|A A^T\right|\) is equal to
- A -9
- B -3
- C 3
- D 9
Answer & Solution
Correct Answer
(D) 9
Step-by-step Solution
Detailed explanation
\(\left|A^T\right| = \left|A\right|\) \(\left|A\right| = -3\) \(\left|A A^T\right| = \left|A\right|\left|A^T\right|\) \(\left|A A^T\right| = (-3)(-3) = 9\)
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