AIEEE 2010 Solved Paper

Section: Mathematics

Question : 75 of 89

Marks: +1, -0

Let A be a 2×2 matrix with non-zero entries and let A2=I, where I is 2×2 identity matrix. Define
Tr(A)= sum of diagonal elements of A and |A|=determinant of matrix A.
Statement- 1:Tr(A)=0
Statement- 2: |A|=1.

[AIEEE 2010]

statement - 1 is true, statement - 2 is true; statement - 2 is not a correct explanation for statement - 1 .
statement - 1 is true, statement - 2 is false.
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 .

Validate

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