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Matrices and Determinants · 2023 · Shift 2

2 Mathematics questions from this JEE Advanced paper

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JEE Advanced
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2023 · Shift 2
Mathematics
Matrices and Determinants

Matrices and Determinants · 2023 · Shift 2

2 Mathematics questions from this JEE Advanced paper

Q22.Let $M = (a_{ij}), i, j \in {1, 2, 3}$ , be the $3 \times 3$ matrix such that $a_{ij} = 1$ if $j + 1$ is divisible by $i$ , otherwise $a_{ij} = 0$ . Then which of the following statements is(are) true?
Mathematics · Matrices and Determinants · Multiple correct
Q29.Let $R = ⎩ ⎨ ⎧ a c 0 325 b d 0 : a, b, c, d \in {0, 3, 5, 7, 11, 13, 17, 19} ⎭ ⎬ ⎫$ . Then the number of invertible matrices in $R$ is :
Mathematics · Matrices and Determinants · Numerical