Let A be a 2 × 2 real matrix with entries from {0, 1} and Consider the following two statements :
(P) If , then |A| = –1
(Q) If |A| = 1, then tr(A) = 2,
where I2 denotes 2 × 2 identity matrix and tr(A) denotes the sum of the diagonal entries of A. Then:
Option: 1 (P) is false and (Q) is true
Option: 2 Both (P) and (Q) are false
Option: 3 (P) is true and (Q) is false
Option: 4 Both (P) and (Q) are true