Let A be a `2 xx 2` real matrix with entries from `{ 0,1}` and ` |A| ne 0`. Consider the following two statements :
(P ) If A ` ne I_2 ` then |A| =-1
(Q ) if |A| =1 , then Tr (A)=2
Where `I_2` denotes ` 2xx 2` identity matrix and tr (A) denotes the sum of the diagonal entries of A then :

Options

A. both (P ) and (Q) are false
B. ( P) is true and (Q) is false
C. Both (P) and (Q) are true
D. (P) is false and (Q) is true