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Matrices and Determinants are among the most important chapters in CBSE Class 12 Mathematics. These chapters form the foundation for higher mathematics, engineering, economics, and computer science. Questions from matrices and determinants are regularly asked in board exams and competitive examinations. To help students revise effectively, Studentbro.in provides a CBSE Class 12 Maths Matrices and Determinants Chapter-wise Formula PDF for the academic year 2025–26, available for free download.
This formula sheet is fully aligned with the latest CBSE syllabus and exam pattern, making it a reliable revision tool for students.
► Click “Download Here” next to your subject to access the free PDF.
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1. Number Sets |
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2. Algebra |
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3. Geometry |
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4. Trigonometry |
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5. Matrices and Determinants |
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6. Vectors |
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7. Analytic Geometry |
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8. Differential Calculus |
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9. Integral Calculus |
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10. Differential Equations |
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11. Series |
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12. Probability |
Matrices and determinants introduce students to a systematic way of handling data and solving equations. These chapters are not only important for board exams but also for future studies in mathematics and applied sciences.
These chapters help students:
Understand matrix representation of data
Solve systems of linear equations
Build logical and computational skills
Prepare for higher-level mathematics
With a clear understanding of formulas, students can easily score high marks in this unit.
The Matrices and Determinants Formula PDF by Studentbro.in includes all important definitions, formulas, properties, and standard results in a chapter-wise format. It is designed for quick revision and clarity.
Matrices deal with rectangular arrays of numbers and their operations. The formula PDF includes:
Definition of matrix
Order of a matrix
Types of matrices
Row matrix and column matrix
Square matrix
Zero matrix
Identity matrix
Diagonal matrix
Scalar matrix
Understanding these basic definitions is essential for solving matrix-based problems.
The PDF clearly explains formulas related to matrix operations such as:
Addition of matrices
Subtraction of matrices
Scalar multiplication
Matrix multiplication
Important properties of matrix multiplication such as non-commutativity are also included for conceptual clarity.
The formula sheet includes all standard results related to transpose:
Transpose of a matrix
Properties of transpose
(Aᵀ)ᵀ = A
(A + B)ᵀ = Aᵀ + Bᵀ
(AB)ᵀ = BᵀAᵀ
These formulas are frequently used in board exam questions.
Inverse of a matrix is an important topic with direct exam weightage. The PDF includes:
Conditions for existence of inverse
Inverse of a 2 × 2 matrix
A⁻¹ = adj(A) / |A|
Properties of inverse matrices
These formulas are essential for solving system of equations using matrices.
The formula sheet covers the matrix method for solving linear equations:
System of equations representation
Matrix equation AX = B
Solution using inverse matrix method
These concepts are important for long-answer questions in board exams.
Determinants are closely related to matrices and play a key role in finding inverses and solving equations. The formula PDF includes:
Determinant of a square matrix
Determinant of 2 × 2 matrix
Determinant of 3 × 3 matrix
Step-wise formulas are provided for easy understanding.
The PDF includes all important determinant properties such as:
Effect of row and column operations
Determinant of identity matrix
Determinant of triangular matrix
If two rows or columns are identical, determinant is zero
These properties are often tested in board exams.
The formula sheet explains:
Minor of an element
Cofactor of an element
Expansion of determinant using minors and cofactors
These formulas are crucial for solving 3 × 3 determinant problems.
The relationship between adjoint and inverse is clearly explained in the PDF:
Adjoint of a matrix
A⁻¹ = adj(A) / |A|
Conditions for inverse existence
These formulas help in solving application-based questions.
The PDF includes formulas related to:
Solution of linear equations using determinants
Cramer’s Rule
Conditions for unique solution, no solution, and infinite solutions
These applications are commonly asked in exams.
Matrices and Determinants carry significant marks in Class 12 board exams. Questions may include:
Short answer formula-based questions
Matrix operations
Finding inverse
Solving linear equations
Regular formula revision improves accuracy and speed.
Free PDF download
Updated for CBSE syllabus 2025–26
Chapter-wise structured content
Simple explanations
Ideal for last-minute revision
Board exam oriented
This formula PDF is ideal for:
CBSE Class 12 students
Students preparing for board exams
Pre-board revision
Teachers and tutors
Competitive exam aspirants
Students can download the CBSE Class 12 Maths Matrices and Determinants Formula PDF from the official website:
Download Link: Matrices and Determinants
By subscribing to Studentbro.in, students also get access to:
Chapter-wise notes
Important questions
Sample papers
Revision PDFs
Previous year question papers
Studentbro.in is a trusted educational platform offering high-quality CBSE study resources. All materials are prepared by subject experts and updated according to CBSE guidelines.
Key advantages include:
Exam-focused content
Easy-to-understand PDFs
Free and premium resources
Student-friendly presentation
Learn matrix definitions clearly
Practice determinant properties regularly
Revise formulas daily
Avoid calculation errors
Write steps neatly in exams
Using a formula sheet consistently improves confidence and performance.
Matrices and Determinants can be one of the most scoring chapters in CBSE Class 12 Maths with proper formula revision and practice. The CBSE Class 12 Maths Matrices and Determinants Formula PDF 2025–26 from Studentbro.in is a complete and reliable revision resource. Download it for free, revise regularly, and prepare confidently for your board exams.
For more CBSE study material, visit Studentbro.in and start your smart preparation today.
