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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 a `2xx2` 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-1is true, Statement-2 is true and Statement-2 is not correct explantion 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 and Statement-2 is a correct explantion for Statement-1.

Text Solution

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The correct Answer is:
B
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