Let $A$ be a $3 imes 3$ matrix and $B$ be its adjoint matrix. If $|B|=64,$ then $|A|$ is equal to

Question

Let $A$ be a $3 	imes 3$ matrix and $B$ be its adjoint matrix. If $|B|=64,$ then $|A|$ is equal to

Aicharya · Accepted Answer

We have, $|B|=64$ $\Rightarrow |\operatorname{adj} A \mid=64$ $\Rightarrow|A|^{2}=64$ $|A|=\pm 8$

Let $A$ be a $3 \times 3$ matrix and $B$ be its adjoint matrix. If $|B|=64,$ then $|A|$ is equal to