PYQs
Practise questions grouped by chapter and source year.
Practice questions are organised using the years and labels in our source collection. Work through the solutions with your teacher; these are not a complete official examination paper.
Practice question 1
Source year: 20255 marksFind inverse of matrix. [CBSE 2025]
Practice question 2
Source year: 20255 marksFind the inverse of matrix [[1,2],[3,4]] using elementary operations. [CBSE 2025]
Practice question 3
Source year: 20243 marksIf A = [[2,3],[1,2]], find A² - 4A + I. [CBSE 2024]
Formulae
Revisit important relationships and quick revision formulae.
Matrix Inverse
A⁻¹ = adj(A)/|A|
Matrix Operations
A + B (addition)\nA × B (multiplication)\n|A| (determinant)\nA⁻¹ (inverse)
Properties
(AB)ᵀ = BᵀAᵀ\n(AB)⁻¹ = B⁻¹A⁻¹\n|AB| = |A||B|
Notes
Build understanding with chapter guides and revision notes.
Understand the chapter
This is a chapter-wise rendering test file. It is not a full textbook chapter. It contains representative formulae, equations, diagrams, mechanisms, tables, and notation patterns useful for testing digitised CBSE/NCERT-style content.
Metadata
| Field | Value |
|---|---|
| Class | 12 |
| Subject | Mathematics |
| Chapter | 3. Matrices |
| Test type | Markdown + LaTeX + Mermaid |
Key rendering targets
- Inline formulae like
- Block formulae using
$$ - Tables
- Diagrams using Mermaid
- Searchable plain text
- Future conversion to HTML, JSON, database, and app content
Rendering test
Inline example: .
Practice/testing prompts
- Check if all formulae render correctly.
- Check if the diagram appears in Obsidian or HTML.
- Mark this chapter as
pass,needs-plugin, orneeds-SVG.
Status
- Formulae checked
- Diagram checked
- HTML checked
- Mobile view checked
Comprehensive Notes: Matrices
Introduction to Matrices
These are the fundamental concepts and key takeaways for this chapter. Make sure to review these before exams.
- Key Concept 1
- Key Concept 2
- Important Definition
More detailed notes will be added here soon.
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