Question

If $A$ is non zero square matrix of order $n$ then $A\left(adjA\right)$ is equal to

• A. $I$
• B. ${\left|A\right|}^{n}I$
• C. $\left|A\right|I$
• D. None of these

Answer 1

The correct option is C $\left|A\right|I$

By the property of adjoint of matrix,
$A\left(adjA\right)=|A|I_n$
where $n$ is the order of the matrix.