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Matrices and Determinants question

2023 · Shift 2 · Q29

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JEE Advanced
Mathematics
Matrices and Determinants
2023 · Shift 2 · Q29

Matrices and Determinants question

2023 · Shift 2 · Q29

JEE AdvancedMathematicsMatrices and DeterminantsNumerical+4 / −1

Let

R=\left\{\left(\begin{array}{lll}a & 3 & b \\ c & 2 & d \\ 0 & 5 & 0\end{array}\right): a, b, c, d \in\{0,3,5,7,11,13,17,19\}\right\}

. Then the number of invertible matrices in

R

is :

Numerical answer

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