Q. 545.0( 1 Vote )

# State True or False for the statements

|adj. A| = |A|^{2}, where A is a square matrix of order two.

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.

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