Let S = \ A = beginpmatrix 0 & 1 & c \ 1 & a & d \ 1 & b & e endpmatrix : 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 _______.

Let S = \ A = beginpmatrix 0 & 1 & c \ 1 & a & d \ 1 & b &… — JEE Advanced 2024 Mathematics PYQ

JEE Advanced 2024 · Paper 1 · numerical answer

Let

S = \left\{ A = \begin{pmatrix} 0 & 1 & c \\ 1 & a & d \\ 1 & b & e \end{pmatrix} : a,b,c,d,e \in \{0,1\} \text{ and } |A| \in \{-1,1\} \right\}

, where

|A|

denotes the determinant of

A

. Then the number of elements in

S

is _______.

Show answer

Answer: 16

[JEE Advanced 2024 · Paper 1]

Practise Matrices and Determinants the way it is asked

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