# CBSE - Class 12 - Mathematics - Matrices - NCERT Solutions

## NCERT Solutions for Mathematics Matrices

### Student Subscription

##### Unlock the exclusive content designed for the toppers

We will update content for this category shortly. Please visit this category after few days or subscribe to our newsletter by email for latest updates

**NCERT solutions for class 12 Mathematics**

**NCERT 12 Mathematics Text book Solutions**

NCERT 12th class Mathematics book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 12 Mathematics chapter wise NCERT solution for Mathematics part 1 and Mathematics part 2 for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

**NCERT Class 12 Mathematics Chapter-wise Solutions**

**Maths Part I**

- Chapter 1 – Relations and Functions
- Chapter 2 – Inverse Trigonometric Functions
- Chapter 3 – Matrices
- Chapter 4 – Determinants
- Chapter 5 – Continuity and Differentiability
- Chapter 6 – Application of Derivatives

**Maths Part II**

- Chapter 7 – Integrals
- Chapter 8 – Application of Integrals
- Chapter 9 – Differential Equations
- Chapter 10 – Vector Algebra
- Chapter 11 – Three Dimensional Geometry
- Chapter 12 – Linear Programming
- Chapter 13 – Probability

## CBSE class 12th Mathematics have two books. Each book has chapters and topics.

**NCERT Mathematics Book Class 12 Part-1****NCERT Mathematics Book Class 12 Part-2**

Here is the list of topics covered under each chapter of class 12 Mathematics NCERT text book.

**Relations and Functions**

- 1.1 Introduction
- 1.2Types of Relations
- 1.3Types of Functions
- 1.4Composition of Functions and Invertible Function
- 1.4Binary Operations

**2. Inverse Trigonometric Functions**

- 2.1 Introduction
- 2.2 Basic Concepts
- 2.3 Properties of Inverse Trigonometric Functions

**3. Matrices**

- 3.1 Introduction
- 3.2 Matrix
- 3.3 Types of Matrices
- 3.4 Operations on Matrices
- 3.5 Transpose of a Matrix
- 3.6 Symmetric and Skew Symmetric Matrices
- 3.7 Elementary Operation (Transformation) of a Matrix
- 8 Invertible Matrices

**4. Determinants**

- 4.1 Introduction
- 4.2 Determinant
- 4.3 Properties of Determinants
- 4.4 Area of a Triangle
- 4.5 Minors and Cofactors
- 4.6 Adjoint and Inverse of a Matrix
- 4.7 Applications of Determinants and Matrices

**5. Continuity and Differentiability**

- 5.1 Introduction
- 5.2 Continuity
- 5.3 Differentiability
- 5.4 Exponential and Logarithmic Functions
- 5.5 Logarithmic Differentiation
- 5.6 Derivatives of Functions in Parametric Forms
- 5.7 Second Order Derivative
- 5.8 Mean Value Theorem

**6. Application of Derivatives**

- 6.1 Introduction
- 6.2 Rate of Change of Quantities
- 6.3 Increasing and Decreasing Functions
- 6.4 Tangents and Normals
- 6.5 Approximations
- 6.6 Maxima and Minima

**7.Integrals**

- 7.1 Introduction
- 7.2 Integration as an Inverse Process of Differentiation
- 7.3 Methods of Integration
- 7.4 Integrals of some Particular Functions
- 7.5 Integration by Partial Fractions
- 7.6 Integration by Parts
- 7.7 Definite Integral
- 7.8 Fundamental Theorem of Calculus
- 7.9 Evaluation of Definite Integrals by Substitution
- 7.10 Some Properties of Definite Integrals

**8. Application of Integrals**

- 8.1 Introduction
- 8.2 Area under Simple Curves

**9.Differential Equations**

- 9.1 Introduction
- 9.2 Basic Concepts

**10 Vector Algebra**

- 10.1 Introduction
- 10.2 Some Basic Concepts
- 10.3 Types of Vectors
- 10.4 Addition of Vectors
- 10.5 Multiplication of a Vector by a Scalar
- 10.6 Product of Two Vectors

**12.Linear Programming**

- 12.1 Introduction
- 12.2 Linear Programming Problem and its Mathematical Formula
- 12.3 Different Types of Linear Programming Problems

**13. Probability**

- 13.1 Introduction
- 13.2 Conditional Probability
- 13.3 Multiplication Theorem on Probability
- 13.4 Independent Events
- 13.5 Bayes' Theorem
- 13.6 Random Variables and its Probability Distributions
- 13.7 Bernoulli Trials and Binomial Distribution

**NCERT Solutions Chapter 3 Matrices**

The knowledge of matrices is necessary in various branches of mathematics. Matrices are one of the most powerful tools in mathematics. This mathematical tool simplifies our work to a great extent when compared with other straight forward methods. The evolution of concept of matrices is the result of an attempt to obtain compact and simple methods of solving system of linear equations. Matrices are not only used as a representation of the coefficients in system of linear equations, but utility of matrices far exceeds that use. Matrix notation and operations are used in electronic spreadsheet programs for personal computer, which in turn is used in different areas of business and science like budgeting, sales projection, cost estimation, analysing the results of an experiment etc. Also, many physical operations such as magnification, rotation and reflection through a plane can be represented mathematically by matrices. Matrices are also used in cryptography. This mathematical tool is not only used in certain branches of sciences, but also in genetics, economics, sociology, modern psychology and industrial management.

**NCERT Solutions for Class 12th Mathematics**

NCERT Solutions Class 12 Mathematics PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 12 Mathematics includes text book solutions from both part 1 and part 2. NCERT Solutions for CBSE Class 12 Mathematics have total 13 chapters. Class 12 Mathematics ncert Solutions in pdf for free Download are given in this website. Ncert Mathematics class 12 solutions PDF and Mathematics ncert class 12 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.

**NCERT Solutions for Class 12**

**NCERT Solutions for Class 12 Physics****NCERT Solutions for Class 12 Chemistry****NCERT Solutions for Class 12 Mathematics****NCERT Solutions for Class 12 Biology****NCERT Solutions for Class 12 English Core****NCERT Solutions for Class 12 Business Studies****NCERT Solutions for Class 12 Economics**

**NCERT Solutions for Class 11**

**NCERT Solutions for Class 11 Physics****NCERT Solutions for Class 11 Chemistry****NCERT Solutions for Class 11 Mathematics****NCERT Solutions for Class 11 Biology****NCERT Solutions for Class 11 English Core**

**NCERT Solutions for Class 10**

**NCERT Solutions for Class 10 Mathematics****NCERT Solutions for Class 10 Science****NCERT Solutions for Class 10 Social Science****NCERT Solutions for Class 10 English Communicative****NCERT Solutions for Class 10 English Language and Literature****NCERT Solutions for Class 10 Hindi Course A****NCERT Solutions for Class 10 Hindi Course B**

**NCERT Solutions for Class 9**

**NCERT Solutions for Class 9 Mathematics****NCERT Solutions for Class 9 Science****NCERT Solutions for Class 9 Social Science****NCERT Solutions for Class 9 English Communicative****NCERT Solutions for Class 9 English Language and Literature****NCERT Solutions for Class 9 Hindi Course A****NCERT Solutions for Class 9 Hindi Course B**

**NCERT Solutions for Class 8**

**NCERT Solutions for Class 8 Mathematics****NCERT Solutions for Class 8 Science****NCERT Solutions for Class 8 Social Science****NCERT Solutions for Class 8 English****NCERT Solutions for Class 8 Hindi**

**NCERT Solutions for Class 7**

**NCERT Solutions for Class 7 Mathematics****NCERT Solutions for Class 7 Science****NCERT Solutions for Class 7 Social Science****NCERT Solutions for Class 7 English****NCERT Solutions for Class 7 Hindi**

**NCERT Solutions for Class 6**

**NCERT Solutions for Class 6 Mathematics****NCERT Solutions for Class 6 Science****NCERT Solutions for Class 6 Social Science****NCERT Solutions for Class 6 English****NCERT Solutions for Class 6 Hindi**

**NCERT Solutions for Class 5**

**NCERT Solutions for Class 5 Mathematics****NCERT Solutions for Class 5 EVS****NCERT Solutions for Class 5 English****NCERT Solutions for Class 5 Hindi**

**NCERT Solutions for Class 4**

**NCERT Solutions for Class 4 Mathematics****NCERT Solutions for Class 4 EVS****NCERT Solutions for Class 4 English****NCERT Solutions for Class 4 Hindi**

**NCERT Solutions for Class 3**

## myCBSEguide

Trusted by 1 Crore+ Students

## Test Generator

Create papers online. It's FREE.

## CUET Mock Tests

75,000+ questions to practice only on myCBSEguide app