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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 elements of A and
`abs(A)=` determinant of matrix A.
Statement -1 `Tr(A)=0`
Statement -2 `abs(A) = 1`

A

Statement I is true, Statement II is true, Statement II is a correct explanation for Statement I.

B

Statement I is true, Statement II is true , Statement II is not a correct explanation for statement I.

C

Statement I is true, Statement II is false.

D

Statement I is false, Statement II is true .

Text Solution

Verified by Experts

The correct Answer is:
C
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