NCERT Solutions for Class 12 Maths Chapter 3 – Matrices: The NCERT Solutions for Class 12 Maths Chapter 3 as provided here are prepared by the best teachers across India. These solutions cover all the questions from Chapter 3 of CBSE NCERT Books for 12th Maths, each of which comes with a detailed explanation that serves to help students understand basic concepts better. These NCERT solutions play a crucial role in your preparation for board exams as well as other competitive exams like JEE and BITSAT.
Chapter 3 – Matrices covers numerous exercises from all topics and sub-topics. The answer to every question is provided along with a stepwise solution for your better understanding. This will prove to be most helpful to you to complete your home assignments and to revise the chapter before any exam. Read on to find out everything about CBSE NCERT Solutions for Class 12 Maths Chapter 3 Matrices.
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CBSE NCERT Solutions for Class 12 Maths Chapter 3 PDF Download
Candidates can also download the NCERT Solutions for Class 12 Maths Chapter 3 PDF from this page for free to study in offline mode as well. Each and every question comes with a detailed step-by-step solution which is solved by top academic experts of Embibe based on the CBSE Guidelines. Here we have given Exercise 3.2, NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.2, 3.3, and more which also includes Miscellaneous exercises.
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CBSE Class 12 Maths Chapter 3: Important Questions
With NCERT Solutions for Class 12 Maths Chapter 3, we have given some of the important questions from this chapter are as under:
CBSE NCERT Solutions For Class 12 Maths Chapter 3
The topics and sub-topics included in the Matrices chapter are tabulated below:
| 1 | Introduction |
| 2 | Matrix |
| 3 | Order of a matrix |
| 4 | Types of Matrices |
| 5 | Equality of matrices |
| 6 | Operations on Matrices |
| 7 | Addition of matrices |
| 8 | Multiplication of a matrix by a scalar |
| 9 | Properties of matrix addition |
| 10 | Properties of scalar multiplication of a matrix |
| 11 | Multiplication of matrices |
| 12 | Properties of multiplication of matrices |
| 13 | Transpose of a Matrix |
| 14 | Properties of transpose of the matrices |
| 15 | Symmetric and Skew-Symmetric Matrices |
| 16 | Elementary Operation (Transformation) of a Matrix |
| 17 | Invertible Matrices |
| 18 | Inverse of a matrix by elementary operations |
NCERT Solutions For Class 12 Maths Chapter 3: Matrices
The knowledge of Matrices is necessary for 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 straightforward methods. The evolution of the concept of matrices is the result of an attempt to obtain compact and simple methods of solving the system of linear equations.
Matrices are not only used as a representation of the coefficients in a system of linear equations, but the utility of matrices far exceeds that use. Matrix notation and operations are used in electronic spreadsheet programs for personal computers, which in turn is used in different areas of business and science like budgeting, sales projection, cost estimation, analyzing 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. In this chapter, you will learn about the fundamentals of matrix and matrix algebra.
Frequently Asked Questions
Some of the FAQs related to Matrices Class 12 Solutions PDF download and their answers are as under:
Q1. Where can I find NCERT Solutions for Class 12 Maths Chapter 3 online?
A. You can find Class 12 Maths Chapter 3 Matrices solutions PDF/Matrices Class 12 NCERT Solutions PDF for free on Embibe.
Q2. Are the NCERT 12th Maths Ch 3 solutions provided by Embibe free?
A. Yes, all NCERT solutions, for all classes provided by Embibe are free to download. You do not even have to register or signup to access the PDFs.
Q3. Where can I solve NCERT Class 12 Maths Chapter 3 questions online?
A. You can solve free CBSE Class 12 Maths Chapter 3 questions on Embibe. All questions come with detailed solutions.
Q4. Are Matrices of NCERT Solutions For Class 12 Maths Chapter 3 is the easiest topic?
A. Yes, Class 12 Maths Chapter 3 is one of the easiest chapters of the Maths syllabus and can be easily prepared with the help of NCERT Solutions For Class 12 Maths Chapter 3.
Q5. What are the Matrices topics in Class 12 Maths Chapter 3?
A. Matrix, types of matrices, operations on matrices, transpose of a matrix, symmetric and skew-symmetric matrices, elementary operation on matrix, and invertible matrices are the topics discussed in NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.1, 3.2, and more.
Download NCERT Solutions for Class 12 Maths for other chapters from the table below:
| Class 12 Maths Chapter 2 Solutions | Class 12 Maths Chapter 4 Solutions | Class 12 Maths All Chapters Solutions |
TAKE FREE CBSE CLASS 12 MATHS CHAPTER WISE MOCK TEST
So, now you have Chapter 3 Maths Class 12 PDF download/Matrices Questions for Class 12 PDF download link and other necessary details.
Embibe provides CBSE study material that covers the whole CBSE Class 12 syllabus for Maths. You can also solve Class 12 Maths practice questions for every chapter in the CBSE Class 12 syllabus for Maths that will help you in your preparation for JEE as well.
We hope this article has been helpful to you. If you have any queries/doubts, leave them in the comment section below and we will get back to you at the earliest.
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