CBSE Class 12 Maths Matrices and Determinants Formula Sheet 2025–26 – Free PDF Download

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.

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Importance of Matrices and Determinants in CBSE Class 12 Maths

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.

What is Included in CBSE Matrices and Determinants Formula PDF 2025–26

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.

Chapter-wise Coverage of Matrices and Determinants Formulas

Chapter 3: Matrices – Important Formulas and Concepts

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.

Operations on Matrices – Formula Sheet

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.

Transpose of a Matrix – Important Results

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 – Key Formulas

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.

Applications of Matrices in Solving Linear Equations

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.

Chapter 4: Determinants – Important Formulas

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.

Properties of Determinants – Formula Collection

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.

Minors and Cofactors – Key Concepts

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.

Adjoint and Inverse Using Determinants

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.

Applications of Determinants in Solving Linear Equations

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.

Weightage of Matrices and Determinants in CBSE Board 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.

Benefits of Using Studentbro.in Matrices and Determinants Formula PDF

• Free PDF download

• Updated for CBSE syllabus 2025–26

• Chapter-wise structured content

• Simple explanations

• Ideal for last-minute revision

• Board exam oriented

Who Should Use This Formula Sheet

This formula PDF is ideal for:

• CBSE Class 12 students

• Students preparing for board exams

• Pre-board revision

• Teachers and tutors

• Competitive exam aspirants

How to Download Matrices and Determinants Formula PDF from Studentbro.in

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

Why Choose Studentbro.in for CBSE Maths Preparation

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

Tips to Score High in Matrices and Determinants

• 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.

Final Conclusion

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.