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Matrices

Previous year questions with solutions · 2024 – 2026

6Questions
5Papers covered
8.82% ↑41.2%Weightage in 2026
’24
’25
’26
Year-wise statistics questions · papers · average per paper · weightage
YearQuestionsPapersAvg / paperWeightage
2026321.58.82% ↑41.2%
20252216.25% ↑112.5%
2024120.52.94%

2 questions · newest paper first

1

Which one of the following matrices can be obtained by performing elementary row transformations on the 3 3 identity matrix ?

  1. bmatrix 1 & 1 & 1 \ 1 & 1 & 1 \ 1 & 1 & 1 bmatrix
  2. bmatrix 1 & 1 & 1 \ 2 & 3 & 4 \ 1 & 2 & 1 bmatrix
  3. bmatrix 1 & 1 & 1 \ 2 & 3 & 4 \ 2 & 5 & 8 bmatrix
  4. bmatrix 1 & 1 & 1 \ -1 & 1 & 2 \ 0 & 2 & 3 bmatrix
JEE Advanced 2026 Paper 1
2

Consider the matrix P = pmatrix 2 & 0 & 0 \ 0 & 2 & 0 \ 0 & 0 & 3 pmatrix. Let the transpose of a matrix X be denoted by XT. Then the number of 3 3 invertible matrices Q with integer entries, such that Q-1 = QT and PQ = QP, is

  1. 32
  2. 8
  3. 16
  4. 24
JEE Advanced 2025 Paper 1