SRMJEE 2016 Paper with key

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Question : 75 of 155

Marks: +1, -0

Let A be 2 X 2 matrix with real entries. Let 3 be 2 X 2 identity matrix. Remote by tr(A) the sum of the diagonal entries of A. Assume that A2=1
Statement 1: If A≠1 and A≠−1 then det A=−1
Statement 2: If A≠1 and A≠−1 then tr (A)≠0

Statement 1 is false, statement 2 is true
Statement 1 is true, statement 2 is true, statement 2 is a correct explanation for statement 1
Statement 1 is true, statement 2 is true, statement 2 is not a connect explanation for statement 1
Statement 1 is true, statement 2 is false

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