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Matrices and Determinants question

2025 · 29 Jan · Shift 2 · Q27

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JEE Main
Mathematics
Matrices and Determinants
2025 · 29 Jan · Shift 2 · Q27

Matrices and Determinants question

2025 · 29 Jan · Shift 2 · Q27

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

A = [a_{ij}]

be a

2 \times 2

matrix such that

a_{ij} \in \{0, 1\}

for all

i

and

j

. Let the random variable

X

denote the possible values of the determinant of the matrix

A

. Then, the variance of

X

is:

A
$\frac{5}{8}$
B
$\frac{1}{4}$
C
$\frac{3}{4}$
D
$\frac{3}{8}$

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