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RD Sharma Class 12 Maths Solutions Chapter 7 - Adjoint and Inverse of a Matrix

Q: 2. What is the formula to find the inverse of a matrix?

Formula to calculate the inverse of a matrix is given by A-1 = (1/|A|) Adj(A).

RD Sharma Solutions

RD Sharma Class 12 Maths Solutions Chapter 7 - Adjoint and Inverse of a Matrix

Last updated date: 25th Apr 2024

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Introduction to Adjoint and Inverse of a Matrix - Free PDF Download

The RD Sharma textbook contains a huge number of solved examples and illustrations along with extra questions. It also provides quality content that is more accurate, easy along with stepwise explanations of various difficult concepts and a wide variety of questions for practice. RD Sharma Solutions are completely based on the exam-oriented approach and latest CBSE pattern to help the students in board exams. The PDF of Class 12 Maths Chapter 7 RD Sharma Solutions Adjoint and Inverse of a Matrix is provided here.

Class 12 RD Sharma Textbook Solutions Chapter 7 - Adjoint and Inverse of a Matrix

Introduction to Class 12 Maths Chapter 7 RD Sharma Solutions.

This chapter is based on the adjoint and inverse of a square matrix and its properties. After going through the PDF, students will learn different formulas and their applications in solving problems. Students can refer to and download RD Sharma Adjoint And Inverse of A Matrix Class 12 Solutions. RD Sharma Solutions contains all the topics related to it and also sample papers. Some of the important topics of this chapter are listed below.

Definition of the adjoint of a square matrix

The inverse of a matrix

Some useful results on invertible matrices

How to determine the adjoint and inverse of a matrix?

How to determine the inverse of a matrix when it satisfies the matrix equation?

How to find the inverse of a matrix by using the definition of inverse?

How to find a nonsingular matrix when an adjoint is given?

Elementary transformation or elementary operations of a matrix

How to calculate the inverse of a matrix by elementary transformation?

Benefits of Solving Questions from Class 12 Maths RD Sharma Solutions Chapter 7

Qualified teachers have prepared and solved the solutions of RD Sharma Chapter 7 concepts after thorough research on the topic.

Complete solution of all questions in an easy and simplified manner to improve your understanding.

It is based on the latest syllabus of the CBSE board. It is helpful while doing your homework and also while preparing for board exams.

Solutions help students to clear the concepts and prepare for the future entrance exams, including BITSAT, JEE, and NEET.

Solutions to the exercises help students to revise the syllabus fast and hence score well in all the exams.

Why Study Chapter 7 of the CBSE class 12 - Adjoint and Inverse of a Matrix?

Chapter 7 of the CBSE class 12 - Adjoint and Inverse of a Matrix, is considered by some former class 12 students as the simplest chapter in the whole textbook. But students will still need to understand its fundamental concepts and paper pattern to get a complete insight into the topic. So, if a student is planning to read and try to memorize all of the topics, then this strategy is doomed to failure. Students need to learn and practice the solutions again and again until they master the craft of writing them in a perfect manner as per the examination point of view. The knowledge students will get from this chapter is extremely important in their day to day work lives.

Students of CBSE Class 12 will not only learn how to answer the questions given in the RD Sharma Solutions for Class 12 Maths Chapter 7 - Adjoint and Inverse of a Matrix but they will also learn how to find the best ways to answer them efficiently and perfectly as per the class 12 examination point of view. Doing this will help them solve the questions quickly and effortlessly. This will in turn save them a lot of time in the examination.

Students can also get a deeper understanding of the questions. Having a deeper insight into the question always helps in cultivating an overall clarity on the topic. This will surely improve students' performance in the actual examination and will help them score better marks and a higher rank.

Chapter 7 (Adjoint and Inverse of a Matrix) in the CBSE Class 12 is one of the most important chapters. This chapter gives deep information about various kinds of six matrices. Students can also learn the differences between these matrices by getting a profound understanding of this chapter.

This chapter (Adjoint and Inverse of a Matrix) plays an important role when it comes to helping students of class 12 score good marks and higher ranks in the examination. And studying RD Sharma Solutions for Class 12 Maths Chapter 7 - Adjoint and Inverse of a Matrix will help them understand this chapter deeply.

The PDF contains exercise wise answers prepared by the experts and you can download the same from the Vedantu website. This exercise consists of all types of questions according to the increasing order of difficulties. The RD Sharma Solutions For Class 12 Maths Chapter 7 that we are offering will help students get a clear overview of what types of questions are asked and how to use the formulas and other topics. The solution further comes with different exercises which have been solved by our experts and students can refer to these to develop better mathematical skills and at the same time prepare efficiently for the exams.

Conclusion

Practising these questions will ensure that the students can easily excel in their final examination for the Maths subject.

FAQs on RD Sharma Class 12 Maths Solutions Chapter 7 - Adjoint and Inverse of a Matrix

1. What is the formula of the adjoint of Matrix?

Let A=[aij] be a square matrix of order n. The adjoint of a matrix A is calculated by the transpose of the cofactor matrix of A. It is denoted by adj A.

2. What is the formula to find the inverse of a matrix?

Formula to calculate the inverse of a matrix is given by A^-1 = (1/|A|) Adj(A).

3. How to calculate the inverse of a 3x3 matrix?

Following are the steps to calculate the inverse of the 3x3 matrix:

Calculate the determinant of the given matrix
Find the transpose of the given matrix.
Calculate the determinant of 2x2 matrices
Finally, divide each term of the adjugate matrix by the determinant value.

4. Does Class 12 Maths Chapter 7 (Adjoint and Inverse of a Matrix) have good weightage in the exam?

Yes. Chapter 7 (Adjoint and Inverse of a Matrix) of class 12 maths is extremely important from the examination point of view. This chapter is based on Adjoint and Inverse of a Matrix which has an application in almost everything students will encounter in their daily life. Also, some experts in maths say that every topic taught in this chapter is important for a class 12 CBSE student to learn to score good marks in the board examination. Students can download Vedantu's RD Sharma Solutions for Class 12 Maths Chapter 7 - Adjoint and Inverse of a Matrix from the provided link and start studying right away. They can also check out Vedantu's RD Sharma solutions for Class 12 Maths all chapters.

5. Where to find RD Sharma Solutions Class 12 Maths Chapter 7 - Adjoint and Inverse of a Matrix?

The only means to get Vedantu's RD Sharma Solutions for Class 12 Maths Chapter 7 - Adjoint and Inverse of a Matrix is by clicking on the download link given on the very page. Students of class 12 have to sign in with their Gmail accounts before accessing the examination gear. Students can also access Vedantu's RD Sharma Solutions for Class 12 Maths Chapter 7 - Adjoint and Inverse of a Matrix by downloading Vedantu's mobile application. Once downloaded, students can begin studying the questions and explanations provided in the study gear.

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Yes. Vedantu's RD Sharma Solutions for Class 12 Maths Chapter 7 - Adjoint and Inverse of a Matrix is entirely free to download. Students who are studying in CBSE class 12, and want to get deeper insights into the maths subject should definitely download and take advantage of this study guide. The process of accessing the RD Sharma Solutions for Class 12 Maths Chapter 7 - Adjoint and Inverse of a Matrix is simple, students should just have to click the given link and sign-in on the Vedantu website. No card information or payment is required.

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The simple explanation for this question is yes, it is extremely important and helpful for the class 12 students who are appearing for the class 12 board examination. The problems in Vedantu's RD Sharma Solutions for Class 12 Maths Chapter 7 - Adjoint and Inverse of a Matrix are carefully solved. Also, the solutions provided are of excellent quality and are built on the basis of guidelines provided and paper pattern followed by CBSE. Class 12 students appearing for the board examination can definitely benefit from studying these study materials.

8. Is it important to practice all the questions provided in the RD Sharma Solutions Class 12 Maths Chapter 7 - Adjoint and Inverse of a Matrix?

The short explanation is yes, a student should practise as many questions provided in Vedantu's RD Sharma Solutions for Class 12 Maths Chapter 7 - Adjoint and Inverse of a Matrix as possible. The best bet would be solving all of the questions given in the study gear. Doing this on a consistent basis will help students of class 12 score better marks in the annual examination. That's because chapter 7 - Adjoint and Inverse of a Matrix is considered as one of the significant chapters from the examination point of view.