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Matrices and Determinants question

2010 · Shift 0 · Q38

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JEE Main
Mathematics
Matrices and Determinants
2010 · Shift 0 · Q38

Matrices and Determinants question

2010 · Shift 0 · Q38

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

A

be a

\,2 \times 2

matrix with non-zero entries and let

{A^2} = I,

where

I

is

2 \times 2

identity matrix. Define

Tr(A)=

sum of diagonal elements of

A

and

\left| A \right| =

determinant of matrix

A

. Statement- 1:

Tr(A)=0

. Statement- 2:

\left| A \right| = 1

.

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

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