AP EAMCET · Maths · Matrices
If \(A\) is a square matrix of order 3, then \(\left|\operatorname{adj}\left(\operatorname{adj} A^2\right)\right|\) is equal to
- A \(|A|^2\)
- B \(|A|^4\)
- C \(|A|^8\)
- D \(|A|^{16}\)
Answer & Solution
Correct Answer
(C) \(|A|^8\)
Step-by-step Solution
Detailed explanation
Given matrix \(\mathrm{A}\) is of order 3 . We know that, \(|\operatorname{adj}(\operatorname{adj} A)|=|A|^{(n-1)^2}\) Similarly, \(\left|\operatorname{adj}\left(\operatorname{adj} A^2\right)\right|=\left|A^2\right|^{(3-1)^2}\)…
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