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Matrices and Determinants question

2024 · Shift 1 · Q27

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JEE Advanced
Mathematics
Matrices and Determinants
2024 · Shift 1 · Q27

Matrices and Determinants question

2024 · Shift 1 · Q27

JEE AdvancedMathematicsMatrices and DeterminantsNumerical+4 / −1

Let

S=\left\{A=\left(\begin{array}{lll}0 & 1 & c \\ 1 & a & d \\ 1 & b & e\end{array}\right): a, b, c, d, e \in\{0,1\}\right.

and

\left.|A| \in\{-1,1\}\right\}

, where

|A|

denotes the determinant of

A

. Then the number of elements in

S

is

\underline{\hspace{2cm}}

.

Numerical answer

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