Question

If $A$ is an invertible matrix of order $n$, then the determinant of $\text{adj}A$ is equal to :

• A. $|A{|}^n$
• B. $|A{|}^{n+1}$
• C. $|A{|}^{n-1}$
• D. $|A{|}^{n+2}$

Answer 1

Answer: (C)

Since $A$ is invertible matrix of order $n$, then the determinant of adj $A=|A{|}^{n-1}$