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Matrices and Determinants question

2008 · Shift 0 · Q39

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PYQ Library
JEE Main
Mathematics
Matrices and Determinants
2008 · Shift 0 · Q39

Matrices and Determinants question

2008 · Shift 0 · Q39

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

A

be

a\,2 \times 2

matrix with real entries. Let

I

be the

2 \times 2

identity matrix. Denote by tr

(A)

, the sum of diagonal entries of

a

. Assume that

{a^2} = I.

Statement-1 : If

A e I

and

A e - I

, then det

(A)=-1

Statement- 2 : If

A e I

and

A e - I

, then tr

(A) e 0

.

A
statement - 1 is false, statement -2 is true
B
statement -1 is true, statement - 2 is true; statement - 2 is a correct explanation for statement - 1.
C
statement - 1 is true, statement - 2 is true; statement - 2 is not a correct explanation for statement - 1.
D
statement - 1 is true, statement - 2 is false.

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