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 a^2=I.Statement-1 : If A ≠ I and A ≠-I, then {\det}(A)=-1Statement- 2 : If A ≠ I and A ≠-I, then { r}(A) ≠ 0.

Question

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 a^2=I.Statement-1 : If A ≠ I and A ≠-I, then {\det}(A)=-1Statement- 2 : If A ≠ I and A ≠-I, then {	r}(A) ≠ 0.

Examsnet · Accepted Answer

Correct Answer is : statement −1 is true, statement −2 is false.

AIEEE 2008 Solved Paper

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