Let S= \{A=\left(\begin{array}{ccc}0 & 1 & c \ 1 & a & d \ 1 & b & e)\end{array}: a, b, c, d, e \in\{0,1\}. \and { | A|} \in\{-1,1\}\} , where |A| denotes the determinant of A . Then the number of elements in S is ______. [JEE Adv 2024 P1]

Matrices and Determinants

Section: Mathematics

Question : 6 of 56

Marks: +1, -0

Let

S={A=(

):a,b,c,d,e∈{0,1}.and‌|A|∈{−1,1}}

, where |A| denotes the determinant of A . Then the number of elements in S is ______.

[JEE Adv 2024 P1]

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