All India Engineering / Architecture Entrance Examination (AIEEE)

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AIEEE 2008 MATHEMATICS

Q. 15.

Sol.

Note: Questions number 16 to 20 are Assertion-Reason type questions. Each of the following questions contains two statements: Statement-I (Assertion) and Statement-2 (Reason). Each question also has four alternative choices, only one of which is the correct answer. Choose the correct answer.

Q. 16. Let A be a 2 × 2 matrix with real entries. Let I be the 2 × 2 identity matrix.
Denote by tr(A), the sum of diagonal entries of A.
Assume that A² = I

1. Statement-1 is true, Statement-2 is true; Statement -2 is not a correct explanation for Statement-1.
2. Statement-1 is true, Statement-2 is false
3. Statement-1 is false, Statement-2 is true.
4. Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1

Sol.

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