State True or False for the statements |adj. A| = |A| 2 , where A is a square matrix of order two.

Question

Philoid · Accepted Answer

False

We know that if A is a square matrix of order n, then |adj A| = |A|^n-1

Here n =2,

⇒ |adj A| = |A|^n-1 = |A|

Hence the statement is false.