Download the Class 12 Maths Handwritten Notes PDF below as a free PDF reference for Class 12 Mathematics Chapter 4 Determinants. The Class 12 Maths Handwritten Notes PDF match the NCERT chapter section by section and present every formula in a boxed display for fast recall. The notebook is sized for both phone and A4 print.
- CBSE Weightage: 5 to 7 marks (Determinants + Matrices together carry 10 to 12 marks of the Algebra unit; expect one 3-marker on properties or area and one 5-marker on Cramer's rule / system of equations)
- JEE Main Weightage: 6 to 8% (2 to 3 questions per shift on property-based simplification, adjoint / inverse, and consistency of linear systems)
- JEE Main Weightage: Not in JEE Main syllabus (Maths-only chapter; high weight for JEE Main, JEE Advanced, and CUET Mathematics)
The notebook opens with the formal definition and the 2 × 2 / 3 × 3 expansion drawn by hand, locks in the seven property boxes, then covers minors and cofactors, adjoint, inverse, area of triangle, and Cramer's rule, ending with a one-page summary.
These handwritten notes are prepared by Collegedunia subject mentors, mapped to the 2026-27 NCERT print, and cross-checked against the last five years of CBSE Board and JEE Main papers on Determinants.
Also Check:
- Determinants Class 12 Maths Notes
- Determinants Class 12 Maths NCERT Solutions
- Determinants Class 12 Maths Formula Sheet
Determinants Video Walkthrough
Source: Magnet Brains on YouTube
Determinants Handwritten Notes Diagram Inventory for Class 12 Maths
The Class 12 Maths Handwritten Notes PDF address this in the same order as the NCERT textbook.
The notebook contains 8 hand-sketched figures and grid diagrams. The table below maps every figure to its page so a reader hunting one specific concept can jump straight to the right spread.
| Page | Diagram | What It Shows |
|---|---|---|
| 1 | 3 × 3 grid with row-1 cofactor expansion | Curved arrows from each a1j to its minor; |A| = a11M11 - a12M12 + a13M13 |
| 2 | Sign chessboard for cofactors | +/−/+ sign grid to overlay on any matrix; saves recomputing (-1)i+j |
| 3 | Interchange and equal-row panel | Side-by-side grids before / after a row swap with sign flip; equal-row case collapsing |A| to 0 |
| 4 | Scaling and row-addition invariance | k pulled out of a single row; R2 → R2 + 3R1 leaving |A| unchanged |
| 5 | Minor and cofactor walk-through | 3 × 3 grid with Mij and Cij labelled; ends with adj(A) as transpose of cofactor grid |
| 6 | Adjoint and inverse flow | cofactors → transpose → multiply by 1/|A|; final box flagged "only if |A| ≠ 0" |
| 7 | Area of triangle sketch | Triangle on axes with 3 × 3 vertex determinant and absolute-value bars highlighted |
| 9 | Consistency decision tree | Three branches off |A|: non-zero → unique; zero with (adj A)B = 0 → infinite; zero else → inconsistent |
Handwritten Notes vs Printed Notes for Determinants: When to Use Which
The notebook is not a replacement for the typed Notes page. The two resources serve different stages of prep.
| Resource | Best For | Time Per Pass |
|---|---|---|
| Typed Notes | First read, deep concept walk, property proofs, adjoint-inverse derivation | 90 to 120 min |
| Handwritten Notes | Second and third revision passes, visual property encoding, last-24-hour skim | 30 to 45 min |
| Formula Sheet | Final 10 minutes before the paper, formula and sign-chessboard recall | 10 min |
The recommended sequence is typed Notes first, then two passes through these handwritten notes, then the Formula Sheet on exam morning.
Related Links:
Class 12 Maths Chapter 4 Determinants Pen-Colour Convention
the Class 12 Maths Handwritten Notes PDF uses four ink colours consistently so you can skim a 9-page notebook in under five minutes during last-day revision.
| Ink Colour | What It Marks | What's Inside |
|---|---|---|
| Blue | Definition / statement | NCERT one-line definitions: determinant, minor, cofactor, adjoint, inverse, singular vs non-singular, area-of-triangle formula |
| Orange | Property box (dashed) | The seven row / column properties. Each property has its own hand-drawn dashed rectangle with a solved examples beside it |
| Yellow highlight | MCQ-trap callout | The 6 facts CBSE and JEE re-use as MCQ distractors: |kA| = kn|A|, |A'| = |A|, |A−1| = 1/|A|, equal-row gives 0 |
| Red | Common-mistake box | Common slips: |kA| written as k|A|, dropped absolute-value bars in the area formula, or Cramer's rule applied when |A| = 0 |
Determinants Weightage Across Class 12 Maths Chapters
The bar chart below maps the typical CBSE Board mark distribution across the 13 chapters of the 2026-27 NCERT Mathematics book, averaged over the last five years. Chapter 4 Determinants is highlighted in orange.
Determinants sits at 6 marks of the typical 80-mark CBSE paper and pairs with Chapter 3 Matrices for a combined 10 to 12 marks in the Algebra unit, a high-yield share you can lock down in one focused revision pass.
Other Resources
NCERT Handwritten Notes for Class 12 Maths: All Chapters
Use the table below to jump to any other Class 12 Maths chapter's handwritten notebook PDF. The same dashed property-box convention and last-day revision card runs through every chapter.
| Chapter | Resource |
|---|---|
| Chapter 4 | Determinants Handwritten Notes |
| Chapter 1 | Relations and Functions Handwritten Notes |
| Chapter 2 | Inverse Trigonometric Functions Handwritten Notes |
| Chapter 3 | Matrices Handwritten Notes |
| Chapter 5 | Continuity and Differentiability Handwritten Notes |
| Chapter 6 | Application of Derivatives Handwritten Notes |
| Chapter 7 | Integrals Handwritten Notes |
| Chapter 8 | Application of Integrals Handwritten Notes |
| Chapter 9 | Differential Equations Handwritten Notes |
| Chapter 10 | Vector Algebra Handwritten Notes |
| Chapter 11 | Three Dimensional Geometry Handwritten Notes |
| Chapter 12 | Linear Programming Handwritten Notes |
| Chapter 13 | Probability Handwritten Notes |
Class 12 Maths Handwritten Notes PDF: available above as a free PDF download, aligned to the 2026-27 NCERT Class 12 Mathematics syllabus.
Student Feedback
In a poll of 1,200 Class 12 students, 78% said this Determinants handwritten notes made last-minute revision faster, and 71% found the quick-recall layout easier than re-reading the full textbook.
Class 12 Maths Handwritten Notes PDF - Frequently Asked Questions
Ques. Where can I download the Class 12 Maths Handwritten Notes PDF for free?
Ans. You can download these notes Maths Handwritten Notes PDF directly from the Class 12 Maths Handwritten Notes PDF. Both the Normal and HD versions are available, and both are free.
Ques. Is this Class 12 Maths Handwritten Notes PDF aligned with the 2026-27 NCERT syllabus?
Ans. Yes. The notebook reflects the current 2026-27 syllabus for Class 12 Mathematics. The chapter is retained intact: definition, properties, minors and cofactors, adjoint, inverse, area of triangle, applications to system of equations via the matrix method, and Cramer's rule. The handwritten layer mirrors every sub-topic CBSE has tested in every Board paper since 2022.
Ques. How many pages is the Class 12 Maths Determinants Handwritten Notes PDF?
Ans. The handwritten notes PDF runs 9 pages and covers the definition of a determinant, 2 × 2 and 3 × 3 expansion, the seven row / column properties, minors and cofactors with the sign chessboard, adjoint, inverse and its existence condition, area of triangle, the consistency decision tree for Ax = b, and Cramer's rule, ending with a one-page summary sheet.
Ques. Why use handwritten notes instead of typed notes for Determinants?
Ans. Determinants is a visual chapter. The expansion of a 3 × 3 grid, the +/−/+ sign chessboard for cofactors, and the seven property boxes are spatial facts that typed notes flatten into prose.
The handwritten notebook encodes each property as a drawn box and each expansion as an arrow diagram, so the reader can recall the pattern by eye rather than by re-reading sentences. Use typed Notes for the first read; switch to these handwritten notes for the second and third revision passes.
Ques. Do these handwritten notes cover Cramer's rule and the matrix method for systems of equations?
Ans. Yes. Page 9 carries the consistency decision tree (unique solution, infinitely many, inconsistent) and a fully solved 3-equation Cramer's-rule example. The same page also shows the matrix-method alternative X = A-1B , which CBSE has alternated with Cramer's rule on every 5-mark Board question since 2022.
Ques. Do these handwritten notes help with JEE Main Determinants questions?
Ans. Yes. JEE Main draws 2 to 3 questions per shift from Matrices and Determinants combined, and the yellow MCQ-trap boxes in the notebook is calibrated against the last five years of JEE Main papers, particularly on property-based simplification, the scaling rule |kA| = kn|A| , the singular vs non-singular distinction, and the consistency check for Ax = b.
Ques. What's the difference between Collegedunia's Handwritten Notes and the regular Notes for Class 12 Maths Chapter 4?
Ans. The regular typed Notes carry the deep concept walk-through with detailed proofs of every property and the full derivation of the adjoint-inverse identity.
These Handwritten Notes compress the same content into a faster, more visual revision tool with hand-drawn property boxes, a sign chessboard, the consistency decision tree, and a 24-hour pre-exam recall card. Use the Class 12 Maths Handwritten Notes PDF for first read, then these for two recall passes.
Ques. Which sub-topic of Determinants carries the most weight in CBSE Board exams?
Ans. The 5-mark Board question almost always comes from one of two places: applying the seven row / column properties to simplify a 3 × 3 determinant, or solving a system of three linear equations using Cramer's rule or the matrix method X = A-1B .
Together these two sub-topics account for roughly 5 of the 5 to 7 marks CBSE assigns to this chapter. The notebook places its dashed property boxes and consistency decision tree on exactly these two sub-topics.
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