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Let A be a 2 xx 2 real matrix wit...

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 :

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