CUET · MATHS · PYQ PAPER 2025
If \(A=\left[\begin{array}{lll}a & a & a \\ 0 & a & a \\ 0 & 0 & a\end{array}\right]\), then |adj A| is equal to
- A \(a^3\)
- B \(a^6\)
- C \(a^9\)
- D \(a^{27}\)
Answer & Solution
Correct Answer
(B) \(a^6\)
Step-by-step Solution
Detailed explanation
\(|A| = a \cdot a \cdot a = a^3\) \(|adj A| = |A|^{n-1} = (a^3)^{3-1} = (a^3)^2 = a^6\)
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