Let A be a 2x2 matrix. Statement-1: adj(adj A) = AStatement-2: |adj A| = |A|

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

Let $A = [\begin{array}{ll} a b \\ c d \end{array}]$ then $adj A = [\begin{array}{cc} d & - b \\ - c & a \end{array}]$

$\Rightarrow adj (adj A) = [\begin{array}{ll} a b \\ c d \end{array}] = A$

$∴$ Statement-1 is true.

Also, $| a d j A | = a d - b c = | A |$

$∴$ Statement-2 is true
But statement-2 is not a correct explanation for statement-1.

Let A be a 2x2 matrix.
Statement-1: adj(adj A) = A
Statement-2: |adj A| = |A|