Questions
Let A be a 2x2 matrix.
Statement-1: adj(adj A) = A
Statement-2: |adj A| = |A|
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a
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
b
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
c
STATEMENT-1 is True, STATEMENT-2 is False
d
STATEMENT-1 is False, STATEMENT-2 is True
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Correct option is B
Let A=a bc d then adjA=d−b−ca⇒ adj(adjA)=a bc d=A∴Statement-1 is true.Also, |adjA|=ad−bc=|A|∴ Statement-2 is trueBut statement-2 is not a correct explanation for statement-1.Similar Questions
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