For an invertible matrix $A$, which of the following is not always true?
- A. $|adj(A)| \ne 0$
- B. $|A| \ne 0$
- C. $|AA^{-1}| = 1$
- D. $|A adj(A)| \ne 1$
✅ Correct Answer: $|A adj(A)| \ne 1$
Explanation
$|A adj(A)| = |A|^n$ which can be equal to $1$ Hence option (d)
🎯 Happy Preparation — ACME Academy
