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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 I is false, Statement II is true

B

Statement I is true, Statement II is true, Statement II is a correct explanation of Statement I

C

Statement I is true, Statement II is true, Statement II is not a correct explanation of Statement I

D

Statement I is true, Statement II is false

Text Solution

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The correct Answer is:
D
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