Let $A$ be a $ 2 \times 2$ matrix with non-zero entries and let $A^2 =I$, where $I$ is $2 \times 2$ identity matrix. Define $Tr(A)$ = sum of diagonal elements of $A$ and $|A|$ = determinant of matrix A. <br> Assertion : Statement -1: $Tr(A) = 0$ <br> Reason : Statement-2 : $|A| =1$

Question

( A ) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1
( B ) Statement -1 is true, Statement-2 is false
( C ) Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation for Statement-1
( D ) Statement -1 is false, Statement-2 is true