Let A be a 2 × 2 matrix with non-zero entries and let A2 = I, where I is 2 × 2 identity matrix. Define tr (A) = sum of diagonal elements of A and A = determinant of matrix A.
Statement-1: tr(A) = 0
Statement-2: |A| =1
(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.
