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Let A be a 2xx2 matrix with real entries...

Let A be a `2xx2` matrix with real entries. Let `I` be the `2xx2`
identity matrix. Denote by tr`(A)`, the sum of diagonal
entries of A. Assume that `A^(2)=I`.
Statement -1 If `A ne Iand A ne -I` then det `A=-I`
Statement-2 If `A ne I and A ne - 1`, then `tr (A) ne 0.`

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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