JEE Main Adjoint and Inverse of a Matrix PYQ PDF is a free, 13-page resource containing 54 questions from the 2004-2026 papers. The topic recorded 11 questions across the 2026 papers, with a reported weightage of 2.32% in the referenced database.
The PDF includes 38 MCQs alongside 16 numerical-value questions, with 3 statement-based questions. Questions are arranged from newest to oldest to help students practise recent exam patterns and revise key concepts.
The PDF Contains:
| 54 Questions | 13 Page | 2.32% ↑21.58% Weightage in 2026 | 2004-2026 years covered |
Adjoint and Inverse of a Matrix is a topic in the Class 12 Mathematics chapter Matrices and Determinants. Every question carries its exam date and shift. The PDF holds questions only, with options as printed and no answer key.
JEE Main Adjoint and Inverse of a Matrix Weightage by Year
As per JEE Main adjoint and inverse of a matrix weightage from past years, students can expect 2 to 11 questions from this topic in a year in recent papers. The 2026 papers had 11.
| Year | Questions | Average per Shift | Weightage in Mathematics | Change in Weightage |
|---|---|---|---|---|
| 2026 | 11 | 0.58 | 2.32% | +21.58% |
| 2025 | 10 | 0.48 | 1.90% | +52.38% |
| 2024 | 9 | 0.38 | 1.25% | +110.00% |
| 2023 | 5 | 0.18 | 0.60% | +167.86% |
| 2022 | 2 | 0.07 | 0.22% | −46.67% |
The 2021 papers add 4 more questions, and the years before that add 13. Weightage is the topic's share of all Mathematics questions in the bank for that year.
Question Formats in JEE Main Adjoint and Inverse of a Matrix PYQs
The 54 questions in this PDF are split between multiple-choice and numerical-value questions. Of the 54, 3 are statement-based.
| Question Type | Questions | Share |
|---|---|---|
| MCQ | 38 | 70.4% |
| Numerical value | 16 | 29.6% |
| Total | 54 | 100% |
How to Practise Adjoint and Inverse of a Matrix
Learn A·adj(A) = |A|·I, A⁻¹ = adj(A)/|A| and, for an n × n matrix, |adj A| = |A|ⁿ⁻¹. Practise questions that give a matrix equation and ask for the inverse or the determinant.
Then do the numerical-value questions that need a determinant after several matrix operations.
Related JEE Main Mathematics Resources
| Resource | Link |
|---|---|
| Matrices and Determinants JEE Main PYQs: full chapter page | Read and download |
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