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RD Sharma Class 12 Solutions Chapter 5 - Algebra of Matrices (Ex 5.2) Exercise 5.2

Last updated date: 18th Apr 2024
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MVSAT 2024

RD Sharma Class 12 Solutions Chapter 5 - Algebra of Matrices (Ex 5.2) Exercise 5.2 - Free PDF

Free PDF download of RD Sharma Class 12 Solutions Chapter 5 - Algebra of Matrices Exercise 5.2 solved by Expert Mathematics Teachers on Vedantu. All Chapter 5 - Algebra of Matrices Ex 5.2 Questions with Solutions for RD Sharma Class 12 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

Competitive Exams after 12th Science

Overview of RD Sharma Class 12 Solutions Chapter 5

There is no denying that in mathematics lie the secrets of this universe! Everywhere we look, we see some form of maths in use - be it in architecture or in the patterns of nature. India has produced some great mathematicians. Go look up their names, you are in for surprises. 

About Algebra

What is Algebra of Matrices? Look at it this way. Matrix is an arrangement of rows and columns used to categorize information. Algebra is when you introduce equations and take away the rows and columns to group information together. Matrices of Algebra are used to lay out data collections in statistics. Fun Fact - Matrix dimension or matrix order is what you call the size of a matrix. Can you see some overlaps with philosophy and physics here?

What are Some of the Important Terms We Should be Familiar with in Algebra of Matrices? 

  • What are Matrices

  • Types of Matrices

  • Applications of Matrices

  • Addition of Matrices

  • Subtraction of Matrices

  • Properties of Matrices

  • Order of a Matrix

  • Multiplication of a Matrix by a Scalar 

Use the RD Sharma Solutions, a specialized document for Chapter 5 - Algebra of Matrices available for free on Vedantu’s website. It will help you solve the most complex questions and understand basic concepts with ease! 

FAQs on RD Sharma Class 12 Solutions Chapter 5 - Algebra of Matrices (Ex 5.2) Exercise 5.2

1. Why should I use the RD Sharma Solutions provided by Vedantu? 

The RD Sharma Solutions are created by Vedantu’s panel of subject experts to deepen your understanding of the algebra of matrices. Mathematics is a subject that requires a strong base and tons of practice. This PDF has well-explained solutions which will help you tackle all kinds of questions, right from the easy to the most difficult ones. The solutions are well-graded, qualitative and can enhance your analytical abilities. It is also well-organized as per the textbook to avoid any form of confusion or difficulty. Moreover, it is available as a free download! 

2. What are other resources I can use to aid my preparation?

The Revision Notes prepared by Vedantu are one of the best resources we would recommend. They are comprehensive, well-organized and can come quite handy when you are brushing up your memory a few days before the examination. It includes definitions of all the key terms in Algebra of Matrices, solved examples that explain different concepts and related questions to indicate what else could be asked during the examination. Along with the RD Sharma Solutions, this resource can ensure that you are prepared to score high in maths!

3. What are some tips to score well in matrices?

The tips are the same as for every other chapter in mathematics. It is a subject where you need to get your fundamentals right. You can only learn formulae and apply those formulae to solve questions. It requires students spend a consistent amount of time in practice. Practise, practise, practise! That is the only way to crack mathematics, understand the subject and come to love it. You can choose to keep a notebook for your formulae and one for your theorems. Practise from RD Sharma solutions and go through the Revision Notes from time to time. 

4. What are some definitions of key terms in the algebra of matrices?

A matrix is a set of real or complex numbers or functions arranged in a rectangular manner. Elements of the Matrix are individual items in the equation. Rows are the horizontal line elements and columns are the vertical line elements. The order of a matrix is determined by the number of rows and columns it has. Different types of matrices are as follows: Column Matrix, Row Matrix, Square Matrix, Diagonal Matrix and Identity Matrix. Operations on Matrices can either be addition, subtraction or multiplication. We get a transpose for a matrix by exchanging its rows with its columns. 

5. What are some applications of Matrices?

The uses of matrices are many. They are compact methods of solving linear equations. They can be used to represent coefficients in the linear equation system too. Apart from these fundamentals, matrices are also used in - 

  • Cryptography

  • Matrix notations and operations are used in electronic spreadsheets

  • Used in systems such as business and sciences as an aid in budgeting, cost estimations, sales projections, analysis of experiment results, data tabulation, etc

  • Also found to be used in branches such as genetics, economics and even modern psychology

  • Can be used in physics to represent equations in magnification, reflection, rotation, etc.

  • Used in 3D Maths to describe spaces between two coordinates