NCERT Solutions for Class 12 Maths Chapter 3 Matrices
NCERT Solutions for Class 12 Maths Chapter 3 Matrices: Matrix is a Latin word which means "womb", an environment where something grows. In this article, you will find NCERT solutions for class 12 maths chapter 3 matrices. Matrix is an array of numbers or mathematical objects for which some operations like addition and multiplication are defined. Matrices is an important and powerful tool in mathematics and it's basically introduced to solve simultaneous linear equations. Matrices have a lot of applications like solving the system of linear equations, doing transformations of one vector space to another, etc. It has applications in engineering, for example, the image or video that you see are matrices of color intensities. In this chapter, you will learn about matrices and it's properties. In order to get the NCERT solutions for class 12 maths chapter 3 matrices, you can go through this article. Important topics that are going to be discussed in this chapter are matrices, the order of a matrix, types of matrices, equality of matrices, operations like addition multiplication on matrices, symmetric and skew-symmetric matrices, etc. In NCERT solutions for class 12 maths chapter 3 matrices article, questions from all topics are covered. The practice is very important to command over any chapter of CBSE maths, so you should try to solve every problem on your own. If you are not able to solve, you can take the help of NCERT solutions for class 12 maths chapter 3 matrices, which are explained in a detailed manner. Check all NCERT solutions from class 6 to 12 at a single place which will be helpful in order to learn CBSE science and maths. Here you will get NCERT solutions for class 12 also.
The topic algebra which contains two topics matrices and determinants which has 13 % weightage in the maths CBSE 12th board final examination, which means you will see 10 marks questions from these two chapters matrices, and determinants in 12th board final exam out of 80 marks. Matrix is a very important chapter from the exam point of view, also from the application point of view, it is very important in further studies like engineering. In this chapter, there are 4 exercises with 62 questions. All these questions are prepared and explained in the NCERT solutions for class 12 maths chapter 3 matrices article. These solutions of NCERT will help you to understand the concept more easily, and perform well in the CBSE 12th board exam.
What are matrices?
Matrix is an array of numbers. Matrix is a mode of representing data to ease calculation and it is one of the most important tools of mathematics because matrices simplify our work to a great extent when compared with other straight forward methods. Matrices are used as a representation of the coefficients in the system of linear equations, electronic spreadsheet programs, also used in business and science. For the students to understand NCERT class 12 maths chapter 3 matrices in a better way total of 28 solved examples are given to practice more, at the end of the chapter, 15 questions are given in the miscellaneous exercise.
Topics and sub-topics of NCERT Grade 12 Maths Chapter 3 Matrices
3.2.1 Order of a matrix
3.3 Types of Matrices
3.3.1 Equality 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 wise
NCERT solutions for class 12 subject wise
NCERT Solutions class wise
- NCERT solutions for class 12
- NCERT solutions for class 11
- NCERT solutions for class 10
- NCERT solutions for class 9
Some applications of matrices:
- If you have to solve two equations with two variables, you can solve by elimination or substitution method but if you have 10 equations with 10 variables to solve, then the above method will be tough and time-consuming, you can use the matrix to solve the system of linear equations. In the NCERT solutions for class 12 maths chapter 3 matrices, you will find some application-related problems also.
- In the storage of huge data in the computer, matrices make it easy
- Any image or video that we see is also matrices of color intensities.
- Its applications are in every branch of physics, scientific studies, probability theory, statistics, stochastic process, etc.
- Solutions of NCERT for class 12 maths chapter 3 matrices will build your basic understanding of matrix which is required to study any branch of engineering
Happy learning !!!
Frequently Asked Question (FAQs) - NCERT Solutions for Class 12 Maths Chapter 3 Matrices
Question: How the NCERT solutions are helpful in the board exam ?
NCERT solutions are not only important when you stuck while solving the problems but you will get to know how to answer in the board exam in order to get good marks in the board exam.
Question: What are the important topics in chapter matrices ?
Matrices, order of a matrix, types of matrices, equality of matrices, operations like addition multiplication on matrices, symmetric and skew-symmetric matrices are the important topics in this chapter.
Question: Does CBSE provides the solutions of NCERT class 12 maths ?
No, CBSE doesn’t provided NCERT solutions for any class or subject.
Question: Where can I find the complete solutions of NCERT class 12 maths ?
A Here you will get the detailed NCERT solutions for class 12 maths by clicking on the link.
Question: What is the weightage of the chapter matrices for CBSE board exam ?
The topic algebra which contains two topics matrices and determinants which has 13 % weightage in the maths CBSE 12th board final examination.
Question: Which is the official website of NCERT ?
http://ncert.nic.in/ is the official website of the NCERT where you can get NCERT textbooks and syllabus from class 1 to 12 for all the subjects.
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