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

Statement - 2 : |adj A| =|A|

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Statement-1 is true, Statement - 2 is true;

Statement-2 is not a correct explanation for Statement-1

Statement-1 is true, Statement-2 is false

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

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

$s t a t e m e n t - I :$ $A d j (A d j A) = {| A |}^{n - 2} A$ =A

$s t a t e m e n t - I I :$ $| A d j A | = {| A |}^{n - 1} = | A |$

$I a n d I I$ are true, but $I I$ is not correct explanation of $I$ .

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