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Matrices and Determinants question

2022 · 27 Jul · Shift 1 · Q44

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JEE Main
Mathematics
Matrices and Determinants
2022 · 27 Jul · Shift 1 · Q44

Matrices and Determinants question

2022 · 27 Jul · Shift 1 · Q44

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1

Let

S

be the set containing all

3 \times 3

matrices with entries from

\{-1,0,1\}

. The total number of matrices

A \in S

such that the sum of all the diagonal elements of

A^{\mathrm{T}} A

is 6 is

\underline{\hspace{2cm}}

.

Numerical answer

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