Matrices Class 12 NCERT Solutions Complete Resources - Free PDF Download
FAQs on NCERT Solutions for Class 12 Maths Chapter 3 Matrices
1. What are the main topics and subtopics of the chapter Matrices?
Matrices are one of the easiest chapters in maths, which, when understood, would become fun to solve. The concepts are as follows: Applications, Matrices, Order of matrices, Types of matrices includes Column matrix, Row matrix, Square matrix, Diagonal matrix, Scalar matrix, Identity matrix, Zero matrix and Equal matrix. You will also read about Operations of matrices which includes Addition of matrices, Subtraction of matrices and Multiplication of matrices.
The chapter also explains about various laws which are: Commutative law, Associative law, Distributive law, Existence of multiplicative identity and Cancellation law. You will also get an idea of Transpose of a matrix, Properties of transpose, Symmetric and skew matrices and Invertible matrices.
2. Give me a glimpse of the chapter Matrices?
Matrices are majorly rectangular arrays of numbers which are represented in rows and columns. Basically, matrices are used to perform various mathematical operations such as addition, multiplication, subtraction and division. Representing data related to population, infant mortality rate, etc. are some of the widely used areas where matrices are implemented to simplify the calculations and ease the representation of data.
Matrices have substantial use in plotting graphs, statistics and various scientific research purposes. The most common and popular application of matrices is in solving linear equations. Matrices are even used to represent the coefficients of a linear equation. Other than that, matrices even find application in 3D maths, where they are used to define the relationship between two coordinate spaces.
3. How do our solutions help you in scoring good marks in the examination?
Start solving easier problems and slowly move to the medium level and then to the complex level. After each and every topic try to solve the questions and check where you are lagging behind. Practice the weaker area of that particular concept as many times as you can. This also helps you in knowing your strength along with the weakness.
Maths is always a part of our life and it will also be used in our day to day life. The short-cut technique to score well in maths is to practice. Do not mug up the solutions, try to understand them and solve it in your own way and then check where you have gone wrong.
4. Why should we learn about Matrices in NCERT Solutions for Class 12 Maths Chapter 3?
Matrices are a powerful and essential tool in Mathematics. They are rectangular arrays of numbers represented in the form of rows and columns. It is used to perform several mathematical operations like addition, subtraction, multiplication, and division. It is widely used in various areas to simplify complex operations like plotting graphs, representing the population, statistics, and in various research papers. It also simplifies the method of solving complex linear equations.
5. How many exercises are there in the Matrix?
There are four exercises and one miscellaneous exercise in the chapter Matrix. You can refer to the Maths Solutions for Class 12 by Vedantu, where you will find the detailed solution of every question in your Maths book. The solutions are explained in a simple and detailed manner and will clear your doubts. It also includes tips and important points that will help you score high in your exams.
6. Is Class 12 maths tough?
No, Class 12 Maths is not tough. You can score high by regular practice and strong concepts. Solve every question in your NCERT Maths book, including the solved questions. Refer to Vedantu’s Maths Solution for Class 12. It focuses on strengthening your concepts so that you can solve a variety of questions. Practice some questions daily to improve your solving skills. You can refer to Vedantu’s Revision Class 12 Notes which includes all the important concepts and formulas compiled in one place.
7. What are Matrices in Maths Class 12?
Matrices are rectangular arrays where data is represented in the form of rows and columns. It is a very easy and scoring topic. This chapter includes:
Types of Matrices
Operations on Matrices
Transpose of Matrices
Symmetric and Skew-symmetric Matrices
Elementary Operations (Transformation) on Matrices
Invertible Matrices
These topics are explained in easy language so that the students can score high. You can practice a variety of questions in this chapter since it is relatively easier.
8. Why should you refer to Vedantu’s Solutions for Class 12 Maths?
Vedantu’s Solutions for Class 12 Maths are prepared by experienced subject-matter experts and include answers to every question in your NCERT Maths book. It includes all the important formulas, concepts, and theorems that are very important from the exam point of view. The solutions are updated according to the latest guidelines of the CBSE board. This is also very useful for revision before your exam. It includes step-wise solutions that will help you to understand the concepts well. The solution PDFs and other study materials such as important questions and revision notes can also be downloaded from the Vedantu app as well for free of cost.
9. Why understanding Metrices is crucial for exams in Class 12?
Mastery of matrices is essential for solving complex mathematical problems and is frequently tested in board exams.
10. What should I focus on in Chapter 3 Maths Class 12?
The NCERT Solutions Class 12 Maths Chapter 3 covers :
The order of a matrix
Types of matrices
Mathematical operation
Transpose of a matrix
Symmetric matrices
Skew-symmetric matrices
Simple operations
Invertible matrices.
11. How many questions from matrices appear in the board exams?
This chapter has 62 questions in 4 exercises along with 15 more provided in a miscellaneous exercise. Out of these 41 questions are short answer types, 11 multiple choice questions, and 25 long answer type questions.
12. Where can I find step-by-step process for matrices class 12 ncert solutions?
Vedantu provides comprehensive solutions that break down complex matrix problems into simple steps.
13. What are the trickiest topics in Chapter 3 Maths Class 12?
Focus more on matrix multiplication and finding inverses as these areas are often challenging for students.
14. How can I effectively practice matrix operations from Chapter 3?
Regular practice using NCERT exercises and additional problems on platforms like Vedantu is recommended.
15. Are matrix concepts important for other competitive exams too?
Yes, understanding matrices is useful for various competitive exams, especially in technical fields.