Question

If A is a square matrix and |A|=2,find the value of |AA^T|

Pls Tell The Answer Fast
​

Answer 1

Given:- A is a square matrix, and |A|=2

Step-by-step explanation:

$\text { For a square matrix, }\\\begin{aligned}A &=A^{\top} \\\therefore|A| &=\left|A^{\top}\right| \\\therefore \quad\left|A^{\top}\right| &=2\end{aligned}$

$\begin{aligned}\therefore \quad\left|A \cdot A^{\top}\right| &=2 \times 2 \\&=4\end{aligned}$