Question

If A be any square matrix of order 3 * 3 and|A| = 5, then find the value
of adj (adjA)|​

Answer 1

Answer:

$\text{adj. (adj. (A))} = 625$

Step-by-step explanation:

Given,

$|A| = 5 \text{ and order of matrix }A, n = 3$

We know that

$\text{adj. (adj. (A))} = (|A|^{n-1})^2$

$=(5^{3-1})^2$        $\because n = 3$

$=(5^2)^2$

$=(25)^2$

$=625$