Question

A is a square matrix with |A|=4 then find the value of |A. (adjA)|

Answer 1

$\textbf{Concept used:}$

$\text{If A is a square matrix of order n,}$

$\text{then }|A(adjA)|=|A|^n$

$\text{Assume that A is a square matrix of order 3}$

$\text{Now,}$

$|A(adjA)|=|A|^n$

$\implies\;|A(adjA)|=4^3$

$\therefore\boxed{\bf\;|A(adjA)|=64}$