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Matrices and Determinants PYQs (previous year questions) for JEE Advanced: Matrices and Determinants (Mathematics) had 34 questions across the 22 official JEE Advanced papers we tagged (2016–2026), and appeared in 20 of them. Asked in 11 of 11 years. The concepts asked in the most papers: Determinants, Matrix Powers, System of Linear Equations.
Year-wise question count
Asked in 11 of 11 years, with 2 papers each year.
Most-asked concepts
Sorted by the number of papers a concept appeared in.
| Concept | Questions | Papers | Years |
|---|---|---|---|
| Determinants | 8 | 8 | 2024, 2023, 2022, 2021, 2018, 2017, 2016 |
| Matrix Powers | 5 | 4 | 2026, 2022, 2016 |
| System of Equations | 3 | 3 | 2018, 2017, 2016 |
| System of Linear Equations | 3 | 3 | 2023, 2022, 2021 |
| Adjoint of Matrix | 2 | 2 | 2020, 2019 |
| Inverse of Matrix | 2 | 2 | 2021, 2019 |
| Matrices | 2 | 2 | 2024, 2023 |
| Adjoint and Inverse | 1 | 1 | 2016 |
| Elementary Row Operations | 1 | 1 | 2026 |
| Matrix Equations | 1 | 1 | 2025 |
| Matrix Operations | 1 | 1 | 2019 |
| Matrix Products | 1 | 1 | 2026 |
| Matrix Squares | 1 | 1 | 2017 |
| Orthogonal Matrices | 1 | 1 | 2025 |
| Similar Matrices | 1 | 1 | 2019 |
| Trace and Determinant | 1 | 1 | 2020 |
How to practise Matrices and Determinants PYQs
- Start with the concepts at the top of the table. They have come back the most.
- Solve one year’s Matrices and Determinants questions from the official PDF against the clock, then check the answer listed below.
- Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
- Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.
Questions by year
Each line gives the question number and paper, type, concept, our one-line summary and the official answer, with a link to the official PDF.
JEE Advanced2026
- Q.3 (Paper 1) · MCQ · Elementary Row Operations: Which matrix can arise from row operations on the identity matrix (official answer: B) PDF
- Q.8 (Paper 1) · MSQ · Matrix Powers: Properties of the 26th power and power sum of a 2x2 matrix (official answer: A, C, D) PDF
- Q.9 (Paper 2) · MSQ · Matrix Products: Properties of a 2x2 matrix product and its action on complex numbers (official answer: B, D) PDF
JEE Advanced2025
JEE Advanced2024
- Q.10 (Paper 1) · Integer · Determinants: Count 0-1 matrices of a given form with determinant plus or minus 1 (official answer: 16) PDF
- Q.14 (Paper 1) · Matching · Matrices: Count matrices with entries from a set under row and column sum conditions (official answer: C) PDF
- Q.10 (Paper 2) · Integer · Determinants: Number of real zeros of a determinant-defined function (official answer: 1) PDF
JEE Advanced2023
- Q.14 (Paper 1) · Matching · System of Linear Equations: Match parameter conditions with nature of solutions of a linear system (official answer: A) PDF
- Q.5 (Paper 2) · MSQ · Matrices: Properties of a 3x3 0-1 matrix defined by a divisibility rule (official answer: B, C) PDF
- Q.12 (Paper 2) · Integer · Determinants: Count invertible matrices with entries from a given set (official answer: 3780) PDF
JEE Advanced2022
- Q.14 (Paper 1) · MSQ · Determinants: Quadratic whose roots are extremes of a determinant-defined function (official answer: A, C) PDF
- Q.17 (Paper 1) · Matching · System of Linear Equations: Nature of solutions of a linear system with HP-term coefficients (official answer: B) PDF
- Q.6 (Paper 2) · Integer · Matrix Powers: Value of 9 beta when a matrix polynomial expression is singular (official answer: 3) PDF
- Q.16 (Paper 2) · MCQ · Matrix Powers: Find M^2022 for a given 2x2 matrix (official answer: A) PDF
JEE Advanced2021
- Q.7 (Paper 1) · Numerical · System of Linear Equations: Determinant of M under consistency of a linear system PDF
- Q.11 (Paper 1) · MSQ · Determinants: Statements on determinants of matrix products with permutation P PDF
- Q.14 (Paper 1) · MSQ · Inverse of Matrix: Statements on G = inverse of (I - EF) PDF
JEE Advanced2020
JEE Advanced2019
- Q.2 (Paper 1) · MCQ · Inverse of Matrix: Minimum values of alpha and beta when M = alpha I + beta M^-1 (official answer: C) PDF
- Q.6 (Paper 1) · MSQ · Adjoint of Matrix: Statements on M, its adjoint and a linear system (official answer: A, B, D) PDF
- Q.1 (Paper 2) · MSQ · Matrix Operations: Properties of a sum of permutation-matrix products (official answer: A, B, C) PDF
- Q.2 (Paper 2) · MSQ · Similar Matrices: Statements on R = PQP^-1 for a parametric matrix Q (official answer: B, C) PDF
JEE Advanced2018
JEE Advanced2017
- Q.41 (Paper 1) · MSQ · Matrix Squares: Diagonal matrices that are not squares of real 3x3 matrices (official answer: B, D) PDF
- Q.46 (Paper 1) · Integer · System of Equations: Value of 1+a+a^2 for infinitely many solutions (official answer: 1) PDF
- Q.48 (Paper 2) · MSQ · Determinants: Properties of a determinant function of x (official answer: B, C) PDF
JEE Advanced2016
- Q.44 (Paper 1) · MSQ · Adjoint and Inverse: Matrix Q with PQ = kI and determinant conditions (official answer: B, C) PDF
- Q.50 (Paper 1) · Integer · Determinants: Number of real x for which a determinant equals 10 (official answer: 2) PDF
- Q.54 (Paper 1) · Integer · Matrix Powers: Ordered pairs (r,s) for which a complex-entry matrix squares to -I (official answer: 1) PDF
- Q.37 (Paper 2) · MCQ · Matrix Powers: Ratio of entries of Q where P^50 - Q = I (official answer: B) PDF
- Q.49 (Paper 2) · MSQ · System of Equations: Consistency of a 2x2 linear system for various parameters (official answer: B, C, D) PDF
Matrices and Determinants in other exams
The same chapter in other official papers we tagged: JEE Main (21 questions).
Other Mathematics chapters
- Sets, Relations and Functions PYQs
- Complex Numbers and Quadratic Equations PYQs
- Permutations and Combinations PYQs
- Binomial Theorem PYQs
- Sequences and Series PYQs
- Limits, Continuity and Differentiability PYQs
- Integral Calculus PYQs
- Differential Equations PYQs
- Coordinate Geometry PYQs
- Three-Dimensional Geometry PYQs
- Vector Algebra PYQs
- Statistics and Probability PYQs
- Trigonometry PYQs
FAQ
How many Matrices and Determinants questions come in JEE Advanced?
In the official papers we tagged: 3 in 2026, 2 in 2025, 3 in 2024, 3 in 2023, 4 in 2022, 3 in 2021, 2 in 2020, 4 in 2019, 2 in 2018, 3 in 2017 and 5 in 2016 (2 papers each year). That is 34 questions in all, about 9% of Mathematics.
Which Matrices and Determinants topics repeat in JEE Advanced?
Asked in the most papers: Determinants, Matrix Powers, System of Linear Equations. The concept table lists every one with its count.
Are these official JEE Advanced questions?
Yes. Every question is from an official JEE Advanced paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.