Question

If $A$ is a square matrix of order $n$, then $\left|\text{Adj}A\right|$ is

• A. ${\left|A\right|}^2$
• B. ${\left|A\right|}^n$
• C. ${\left|A\right|}^{n-1}$
• D. $\left|A\right|$

Answer 1

Answer: (C)

${\left|A\right|}^{n-1}$

$|\text{Adj}A|$ of a square matrix of $n^{th}$ order, is given by $|A{|}^{n-1}$ where $|A|$ is determinant of square matrix of $A$ of $n^{th}$ order.