The NCERT Exemplar Class 12 Maths Chapter 3 Matrices booklet is the official NCERT Exemplar problem book for the Class 12 Mathematics Chapter 3 - the printed Hindi-medium-friendly resource that sits above the standard textbook in difficulty. The PDF below is the byte-identical NCERT print, aligned to the 2026-27 syllabus, free to download, and used by CBSE schools nationwide as the higher-order practice resource for the chapter.
- CBSE Weightage: 8-10 marks (Matrices and Determinants combined unit, 13% of paper)
- JEE Main Weightage: 6-8% (1-2 questions per shift, very predictable)
- JEE Advanced Weightage: 2-3 questions across Paper 1 and Paper 2 yearly
This matrices class 12 ncert pdf is sourced from the official NCERT print, mapped against the last five years of CBSE Board and JEE Main HOTS sets, and flagged for the post-rationalisation topic overlap so CBSE-only students do not waste time on dropped problems.
Also Check:
Matrices NCERT Exemplar Video Walkthrough
Source: Magnet Brains on YouTube
How This Class 12 Matrices Exemplar Booklet Helps Students
The bare Exemplar print is a problem book with no reading aids. The downloadable PDF bundled on this page adds the maps students actually need to use the booklet efficiently for the matrices class 12 ncert solutions workflow.
- Question-Type Tagging: Every problem in the 23-page matrices class 12 ncert pdf is mapped to its question type (MCQ-I, MCQ-II, VSA, SA, LA) so students can drill one type at a time.
- Old-Syllabus Flagging: Problems involving elementary row operations - the elementary operations on matrices class 12 sub-topic - are flagged with priority levels so students know whether to attempt them.
- Difficulty Tier: Problems are grouped into Easy, Medium, and HOTS so a student can build difficulty progressively rather than open the booklet and freeze on Q1.
- JEE / CBSE Tag: Each problem is tagged with the exam it most closely resembles, so JEE aspirants can prioritise differently from board-only students.
What's Inside the Class 12 Matrices Exemplar Booklet
Every entry in the booklet is reproduced in the order it appears in the printed NCERT textbook, but the question style is consistently one notch above. The 23 pages of the matrices class 12 ncert pdf are organised as one continuous problem set rather than per-exercise.
The table below shows the problem range, page span, and what each section trains. Students who study types of matrices class 12 as the priority sub-topic should start with the SA block.
| Section | Problem Range | Pages | What It Covers |
|---|---|---|---|
| Solved Examples | 1 to 16 | 1-10 | Worked questions modelling SA and LA style across order, equality, operations, transpose, symmetric and skew-symmetric decomposition |
| Short Answer (SA) | 1 to 17 | 10-15 | 2-mark and 4-mark direct-proof problems on operations, properties, and invertibility checks |
| Long Answer (LA) | 18 to 26 | 15-18 | 5-mark and 6-mark proof + counter-example problems; closest match to CBSE Board long answer style |
| Objective Type (MCQ-I, MCQ-II) | 27 to 48 | 18-21 | Single-correct and multi-correct MCQs; closest match to JEE Main and JEE Advanced MCQ pattern |
| Fill in the Blanks / True-False | 49 to 62 | 21-23 | Quick-check VSA-style items for last-day revision before CBSE Boards |
Matrices Exemplar Question-Type Distribution
The distribution below shows how the 62+ problems split across the five question types in the booklet. CBSE-prep students should prioritise SA and LA; JEE aspirants should prioritise MCQ-I, MCQ-II, and the harder LA problems. The cross-page ch matrices class 12 mock-paper drill uses the same proportion.
| Type | Count | Marks Each | Total Marks | Best For |
|---|---|---|---|---|
| Solved Examples | 16 | - | - | Skill modelling |
| Short Answer (SA) | 17 | 2-4 | ~55 | CBSE Boards |
| Long Answer (LA) | 9 | 5-6 | ~50 | CBSE Boards + JEE Advanced subjective |
| MCQ-I / MCQ-II | 22 | 1 | 22 | JEE Main + JEE Advanced + mcq on matrices class 12 banks |
| Fill in Blanks / T-F | 14 | 1 | 14 | Last-day MCQ recall |
Hindi-Medium Edition and PDF Editions of the Exemplar
The matrices pdf class 12 is available in three editions on this page. The table below summarises which edition fits which study mode:
| Edition | Best For | Approx. Size |
|---|---|---|
| Normal-Resolution PDF (English) | Phone reading, quick revision between classes | 3-4 MB |
| HD PDF (English) | Print-ready, desk study, board hall photocopy | 10-12 MB |
| Hindi-Medium PDF | Hindi-medium CBSE schools, NIOS students | 4-5 MB |
The Hindi-medium edition keeps the same problem numbering, the same matrix entries, and the same page layout as the English print. Only the prose and instructions are translated. Students preparing under matrices class 12 shaalaa Maharashtra board syllabus will recognise nearly every problem - the chapter content is identical across all Indian school boards, and the matrices class 12 maharashtra board exercise numbering simply uses a different chapter index.
Other Resources
NCERT Exemplar Book PDF for Class 12 Mathematics: All Chapters
Download any other chapter's Exemplar Book PDF for the 2026-27 cycle using the table below. Each link opens the equivalent ncert matrices class 12 pdf-style download for that chapter, formatted identically.
| Chapter | Resource |
|---|---|
| Chapter 3 | Matrices Exemplar Book PDF |
| Chapter 1 | Relations and Functions NCERT Exemplar Book PDF |
| Chapter 2 | Inverse Trigonometric Functions NCERT Exemplar Book PDF |
| Chapter 4 | Determinants NCERT Exemplar Book PDF |
| Chapter 5 | Continuity and Differentiability NCERT Exemplar Book PDF |
| Chapter 6 | Application of Derivatives NCERT Exemplar Book PDF |
| Chapter 7 | Integrals NCERT Exemplar Book PDF |
| Chapter 8 | Application of Integrals NCERT Exemplar Book PDF |
| Chapter 9 | Differential Equations NCERT Exemplar Book PDF |
| Chapter 10 | Vector Algebra NCERT Exemplar Book PDF |
| Chapter 11 | Three Dimensional Geometry NCERT Exemplar Book PDF |
| Chapter 12 | Linear Programming NCERT Exemplar Book PDF |
| Chapter 13 | Probability NCERT Exemplar Book PDF |
Free download: the booklet is available above as the free matrices class 12 pdf, aligned to the 2026-27 NCERT Class 12 Mathematics syllabus.
Student Feedback - Matrices Difficulty (Collegedunia poll of 12,540 students conducted before the 2026 boards):
- 71% of students surveyed rated class 12 matrices and determinants as the most-scoring unit on the CBSE paper, well above calculus.
- Out of 12,540 students surveyed before the 2026 boards, the average student lost 1.4 marks from a sign error in the symmetric/skew decomposition step.
- 78% of JEE aspirants reported solving the full Exemplar at least twice in the month before JEE Main.
- Most-skipped sub-topic: invertible matrices by elementary row operations (skipped by 32% of students surveyed).
- Toppers reported that writing out the transpose-property proofs by hand three times each added 1-2 marks on the long-answer items.
Source: 2025-26 Class 12 Mathematics student poll. Sample of 12,540 students from CBSE schools across 14 states.
NCERT Exemplar Class 12 Maths Matrices - Frequently Asked Questions
Ques. Where can I download the NCERT Exemplar Class 12 Maths Matrices for free?
Ans. Students can download the matrices class 12 pdf NCERT Exemplar Book directly from this page. Both Normal-resolution and HD versions are available and both are free. The same file also satisfies the matrices questions for class 12 pdf search.
Ques. Is this matrices class 12 ncert pdf aligned with the 2026-27 NCERT syllabus?
Ans. The Exemplar itself was not updated during the 2022-23 rationalisation, so a small subset of problems (full adjoint-inverse) now sit in the Determinants chapter. We have flagged those problems so CBSE-only students know to treat them as Ch 4 practice. The ncert class 12 matrices solutions page handles the remaining items.
Ques. How many pages is the Class 12 Maths Matrices Exemplar PDF?
Ans. The booklet runs 23 pages and contains 16 solved examples plus 62+ problems split across short answer, long answer, MCQ-I, MCQ-II, and fill-in-the-blank types. The same content appears in the parallel matrices and determinants class 12 pdf compilation that pairs the chapter with Ch 4.
Ques. Is the NCERT Exemplar harder than the matrices class 12 ncert solutions textbook?
Ans. Yes. The Exemplar twists the textbook setup, asks for one extra deduction or proof after the main computation, and combines two matrix ideas (e.g. transpose plus symmetric check) in one problem. CBSE Boards and JEE Main now both use this Exemplar style for HOTS questions.
Ques. Should I attempt the Exemplar before or after the matrices class 12 ncert textbook?
Ans. Attempt them in parallel. Read a topic from the textbook, solve the matching textbook exercise (start with Exercise 3.1 and Exercise 3.2), then attempt the Exemplar problems on the same topic. Solving the Exemplar before the textbook usually frustrates students. The same flow works for the matrices class 12 miscellaneous exercise solutions drill.
Ques. How important is this booklet for JEE Main preparation?
Ans. Very important. Around 45% of JEE Main 2023-2025 questions on the chapter were re-skinned Exemplar problems. JEE aspirants should treat the items as a mandatory practice book. The class 12 matrices important questions set on this page extracts the highest-yield 12 problems if time is short.
Ques. Which Exemplar problems most resemble the CBSE Board long-answer style?
Ans. The Long Answer problems Q18 to Q26 closely match the CBSE Board 5-mark and 6-mark style. Q18, Q22, and Q25 have appeared in CBSE Boards in slightly modified form in the last five years. Solving those three first is the smartest first move before the boards.
Ques. What is a matrix?
Ans. A matrix is a rectangular arrangement of numbers, symbols, or expressions in rows and columns. In the standard notation a matrix of order m by n has m rows and n columns. The Class 12 chapter formally introduces operations on matrices and the conditions under which inverses exist. Students sometimes search for this definition as ncert solutions class 12 matrices or ncert solutions matrices class 12.
Ques. How is the transpose of a matrix defined?
Ans. The transpose of an m x n matrix A, denoted A' or A^T, is the n x m matrix obtained by interchanging the rows and columns of A. The chapter shows that (AB)' = B'A' and uses this identity to construct symmetric and skew-symmetric decompositions. The ncert class 12 matrices walkthrough treats these as 5-mark proofs.
Ques. What are the types of matrices in the Class 12 chapter?
Ans. The chapter covers row matrix, column matrix, square matrix, zero matrix, identity matrix, diagonal matrix, scalar matrix, symmetric matrix, and skew-symmetric matrix. Each type has a specific definition the Exemplar drills through SA and MCQ-I problems.
Comments