Q.

Let A be a 2×2 matrix Statement - 1 : adj (adj A) = AStatement - 2 : |adj A| =|A|

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a

Statement-1 is true, Statement - 2 is true; Statement-2 is not a correct explanation for Statement-1

b

Statement-1 is true, Statement-2 is false

c

Statement-1 is false, Statement-2 is true .

d

Statement-1 is true, Statement-2 is true Statement-2 is a correct explanation for Statement-1

answer is A.

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Detailed Solution

statement−I:  Adj(AdjA)=|A|n−2A =A statement−II: |AdjA|=|A|n−1=|A| I  and  II  are true, but   II  is not correct explanation of   I .
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Let A be a 2×2 matrix Statement - 1 : adj (adj A) = AStatement - 2 : |adj A| =|A|