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

If $A$ is an invertible matrix of order $n$, then the determinant of $\operatorname{adj} A$ is equal to :
  1. $|A|^n$
  2. $|A|^{n+1}$
  3. $|A|^{n-1}$
  4. $|A|^{n+2}$

Solution

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

Asked in: AP EAMCET 2006

Practice more Matrices questions on Aicharya