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Let A be a 2xx2 matrix with non zero ent...

Let A be a `2xx2` matrix with non zero entries and let `A^(2)=I`, where I is `2xx2` identity matrix. Define Tr(A)= sum of diagonal elemets 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.

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