NCERT Solutions for Class 12 Maths

NCERT Solutions for Class 12 Maths Chapter 3 Free PDF Download

NCERT Solutions for Class 12 Maths Chapter 3 Matrices

NCERT Solutions for Class 12 Maths Chapter 3 will strengthen student’s basic and conceptual fundamentals to score better marks and stay ahead. Our Mathematics experts who constantly work hard and keep detailed eyes on the subject have prepared these NCERT solutions.

NCERT Solutions for Class 12 Maths Chapter 3 Matrices is extremely helpful in revising complete syllabus and getting a strong base. NCERT solutions for Matrices Class 12 Maths give step by step solution for each and every question of the chapter. These solutions will also help you with your homework.

Our team of expert teachers has created NCERT solutions for class 12 Maths Chapter 3 Matrices according to curriculum and pattern of syllabus. Our app will help you to get complete NCERT solutions.

Toppr provides free study materials, last 10 years of question papers, 1000+ hours of video lectures for free. Download Toppr app for Android and iOS or Signup for free.

Download NCERT Solutions for other subjects here.

Download NCERT Solutions for Class 12 here.

Download NCERT Solutions for Class 12 Maths Chapter-wise here.

CBSE Class 12 Maths Chapter 3 – Matrices NCERT Solutions

NCERT solutions for class 12 Maths Chapter 3 Matrices help students to understand matrices in an easy and self-explanatory way. The conceptual background of matrices is necessary for various branches of mathematics. Matrices are one of the most useful tools in mathematics as well as other areas of science like cryptography, genetics, economics, sociology, modern psychology and industrial management, etc.

ncert solutions for class 12 maths chapter 3

Sub-topics covered under NCERT Solutions for Class 12 Maths Chapter 3

  • 3.1 Introduction
  • 3.2 Matrix
    • 3.2.1 Order of Matrix
  • 3.3 Types of Matrices
  • 3.4 Operations on Matrices
    • 3.4.1 Addition of matrices
    • 3.4.2 Multiplication of a matrix by a scalar
    • 3.4.3 Properties of matrix addition
    • 3.4.4 Properties of scalar multiplication of a matrix
    • 3.4.5 Multiplication of matrices
    • 3.4.6 Properties of multiplication of matrices
  • 3.5 Transpose of a Matrix
    • 3.5.1 Properties of the transpose of the matrices
  • 3.6 Symmetric and Skew-Symmetric Matrices
  • 3.7 Elementary Operation (Transformation) of a Matrix
  • 3.8 Invertible Matrices
    • 3.8.1 Inverse of a matrix by elementary operations

NCERT Solutions for Class 12 Maths Chapter 3

Matrices deals with arranging and organizing them in a proper form of a table. In our NCERT Solutions for Class 12 Maths Chapter 3, students will also learn about various ways to apply matrices with determinants. This chapter covers all aspects of matrices with their types, operations, and applications.

Let us discuss the sub-topics in detail.

3.1 Introduction

It simplifies our work to a great extent when compared with other straight forward methods. Matrices are not only used as a representation of the coefficients in the system of linear equations but also used in a personal computer.

3.2 Matrix

A matrix is an ordered rectangular collection of numbers or functions. These numbers are called the elements or the entries of the matrix. It contains some Rows and Columns.

3.2.1 Order of Matrix

Each matrix has m rows and n columns. Its order is m × n and we read it as an m by n matrix.

3.3 Types of Matrices

This topic discusses various types of Matrices as Column Matrix, Row Matrix, Square Matrix, Identity Matrix, etc.

3.4 Operations on Matrices

It introduces some basic but important operations on matrices, like the addition of matrices, multiplication of a matrix by a scalar, difference, and multiplication of matrices, etc. Also, it explains various properties of matrices based on these operations.

3.4.1 Addition of Matrices

It elaborates the process to add two matrices.

3.4.2 Multiplication of a matrix by a scalar

It elaborates the process to multiply a matrix by a scalar quantity.

3.4.3 Properties of matrix addition

It shows some additive properties of matrices.

3.4.4 Properties of scalar multiplication of a matrix

It shows some multiplicative properties of matrices.

3.4.5 Multiplication of matrices

It elaborates the process to multiply two matrices.

3.4.6 Properties of multiplication of matrices

It shows some multiplicative properties of matrices.

3.5 Transpose of a Matrix

It explains the meaning and procedure of finding the transpose of a matrix. It plays the main role to define and find the symmetric and skew-symmetric matrices.

3.5.1 Properties of the transpose of the matrices

It explains some properties of the transpose of matrices.

3.6 Symmetric and Skew-Symmetric Matrices

It defines two more types of matrices which used to get some interesting results.

3.7 Elementary Operation (Transformation) of a Matrix

It explores the elementary transformations of the matrices. There are six transformations possible on a matrix, three of which are due to rows and three due to columns.

3.8 Invertible Matrices

It defines the existence of inverse of a matrix. This inverse matrix exists and gives the identity matrix after multiplying it with the original matrix, if it exists, it will be unique.

3.8.1 Inverse of a matrix by elementary operations

It discusses the elementary operations on the inverse of a matrix.

You can download NCERT Solutions for Class 12 Maths Chapter 3 PDF by clicking on the download button below

ncert solutions for class 12 maths chapter 3 pdf download

Download Toppr – Best Learning App for Class 5 to 12

NCERT Solutions for Class 12 Maths Chapter 3 Matrices is very popular among the students due to its high use in other application areas. These solutions will help students to frame a better understanding of it with a clear view of solving the problems.

We also provide free pdf downloads, free online classes, free video lectures, and free doubt clearing sessions. Our Maths faculties are highly capable and proficient. We are just a click away. Download Toppr app for Android and iOS or Signup for free.

Share with friends

Customize your course in 30 seconds

Which class are you in?
5th
6th
7th
8th
9th
10th
11th
12th

Leave a Reply

avatar
  Subscribe  
Notify of

Do you want

Question Papers

of last 10 years for free?

No thanks.