CUET · MATHS · PYQ PAPER 2023
If \(A\) is a square matrix of order 3 and \(|A|=-2\), then the value of \(\left|-A^{-1}\right|\) is :
- A \(\frac{1}{2}\)
- B \(-\frac{1}{2}\)
- C 2
- D \(-2\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{2}\)
Step-by-step Solution
Detailed explanation
\(\left|-A^{-1}\right| = (-1)^3 \left|A^{-1}\right|\) \(= - \left|A^{-1}\right|\) \(= - \frac{1}{|A|}\) \(= - \frac{1}{-2}\) \(= \frac{1}{2}\)
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