# RS Aggarwal Class 12 Solutions Chapter 5

## RS Aggarwal Solutions for Class 12 Chapter 5 – Matrices Solutions PDF Download

### RS Aggarwal Solutions Class 12 Maths Chapterwise â€“ Free PDF Download

**RS Aggarwal Class 12 Solutions Chapter 5 Matrices** are made to make it easy for you to figure out how to answer the questions. Matrixes are a useful mathematical tool that is used in the sciences, social sciences, and management. By practising the RS Aggarwal Solutions for Class 12 Chapter 5, you will learn what a matrix is and the different types of matrices, such as row matrices, column matrices, square and diagonal matrices, scalar, identity, and null matrices, and upper and lower triangular matrices.

There are 6 exercises with a total of 124 questions that go into detail on all topics on the CBSE and entrance exam syllabus. From the point of view of the test, these exercise RS Aggarwal Class 12 Solutions Chapter 5 are very reliable and very important. You should practise the answers well if you want to stand out among your peers. This chapter is mostly about matrices, so if you look at the detailed solutions, you will be able to find the addition, subtraction, and product of different matrices quickly and easily.

Our experts in the field know that you might have questions as you try to answer the questions. So, we’ve put together solutions that have been well-researched and are in line with the updated CBSE syllabus. You can use them as they are for practise and for your Class 12 Board exams. Even though these answers are detailed, they will help you learn how to manage your time, which is an important skill for solving complex problems.

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**RS Aggawal Class 12 Solutions Chapter 5 – Matrices PDF **

**RS Aggawal Class 12 Solutions Chapter 5 – Matrices PDF**

**RS Aggarwal Class 12 Solutions**

## Chapter-1 Relation Solutions

## Chapter-2 Functions Solutions

## Chapter-3 Binary Operations Solutions

## Chapter-4 Inverse Trigonometric Functions Solutions

## Chapter-5 Matrices Solutions

## Chapter-6 Determinants Solutions

## Chapter-7 Adjoint and Inverse of a Matrix Solutions

## Chapter-8 System of Linear Equations Solutions

## Chapter-9 Continuity and Differentiability Solutions

## Chapter-10 Differentiation Solutions

## Chapter-11 Applications of Derivatives Solutions

## Chapter-12 Indefinite Integral Solutions

## Chapter-13 Method of Integration Solutions

## Chapter-14 Some Special Integrals Solutions

## Chapter-15 Integration Using Partial Fractions Solutions

## Chapter-16 Definite Integrals Solutions

## Chapter-17 Area of Bounded Regions Solutions

## Chapter-18 Differential Equations and Their Formation Solutions

## Chapter-19 Differential Equations with Variable Separable Solutions

## Chapter-20 Homogeneous Differential Equations Solutions

## Chapter-21 Linear Differential Equations Solutions

## Chapter-22 Vectors and Their Properties Solutions

## Chapter-23 Scalar, or Dot, Product of Vectors Solutions

## Chapter-24 Cross, or Vector, Product of Vectors Solutions

## Chapter-25 Product of Three Vectors Solutions

## Chapter-26 Fundamental Concepts of 3-Dimensional Geometry Solutions

## Chapter-27 Straight Line in Space Solutions

## Chapter-28 The Plane Solutions

## Chapter-29 Probability Solutions

## Chapter-30 Bayesâ€™s Theorem and its Applications Solutions

## Chapter-31 Probability Distribution Solutions

## Chapter-32 Binomial Distribution Solutions

## Chapter-33 Linear Programming Solutions

#### Detail Discussion about RS aggarwal Class 12 Solutions Chapter 5 Matrices

In RS Aggarwal Class 12 Solutions Chapter 5 is all about Matrices. Students need to know about matrices because questions are easy to answer when they come from this section. If you fully understand the ideas, you can get a perfect score on this chapter. The first part of the chapter talks about what matrices are, how they are ordered, what a coefficient is, and what an augmented matrix of a set of linear equations is.

Next, you have to classify the different kinds of matrices, such as row, column, null or zero, diagonal, scalar, unit, or identity matrix. After that, we have a theorem about how two Matrices are equal to each other.

As you read more of the chapter, you will also learn about symmetric and skew-symmetric matrices. Next, there are operations on matrices, like adding, subtracting, multiplying a matrix by a single number, and multiplying two matrices together. Also, there are singular matrices that are not singular, and there are two non-zero matrices whose sum is a zero matrix. Next, there are ways to find the transpose of a matrix and the adjoint or adjugate of a given matrix. It is then followed by an important topic, which is how to find the opposite of a matrix. The chapter ends with how to check if a matrix is orthogonal or not, how to find a matrix’s rank, and Martin’s Rule. RS Aggarwal Class 12 Solutions Chapter 5 Matrices covers all the topics.

#### Exercise-by-exercise talk about RS Aggarwal Class 12 Solutions Chapter 5 Matrices

The answers to the exercises in 5A are based on being able to identify matrices and the things in their rows and columns, as well as being able to draw a given matrix.

- Most of the answers to the exercises in 5B are based on making sure that different Matrices are who they say they are.
- In exercise 5C, you’ll learn how to solve difficult function problems involving matrices and how to square a matrix.
- In the solutions to exercise 5D, the transpose and inverse of the matrices are talked about in depth.
- In exercise 5E, you will need to use simple row operations to find the inverse of the matrices.
- With a wide range of different problems, the last exercise 5F will teach you how to use matrices well.
- By answering these questions, you’ll feel more comfortable with this subject, which will help you in your higher studies and on tests.

## FAQ ( Frequently Asked Questions )

**1. How can I access the RS Aggarwal solutions for Class 12 Chapter 5 Matrices?**

Ans – Today, it’s easy to get any kind of study material because everything is on the internet. So, it’s also easy to get the RS Aggarwal solutions for Class 12 Chapter 5 Matrices. Refer to the PDF file here to find these answers quickly. The PDF of the solution has been put on Utopper’s website. So you can go there. The most important thing is that all of these are free.

**2. What is the curriculam for the Class 12 Maths board exam?**

Ans – The final 80-marks board exam for CBSE Class 12 Mathematics covers 13 chapters. The purpose of these chapters is to teach students all the basic ideas they need to know for their exams and further studies. Students can find NCERT Class 12 math chapter review notes and solutions on the Utopper website, along with solutions from well-known reference books like RS Aggarwal, RD Sharma, Sample paper and Important Questions.

The Class 12 Mathematics curriculum includes the following chapters: Chapter 1: Relations and Functions Chapter 2: Inverse Trigonometric Functions Chapter 3: Matrices Chapter 4: Determinants Chapter 5: Continuity and Differentiability Chapter 6: Application of Derivatives Chapter 7: Integrals Chapter 8: Application of Integrals Chapter 9: Differential Equations Chapter 10: Vector Algebra Chapter 11: Three Dimensional Geometry Chapter 12: Linear Programming Chapter 13: Probability

**3. What kinds of matrices do you learn about in RS aggarwal Class 12 chapter 5?**

Ans – In RS Aggarwal Class 12 Solutions Chapter 5 Students can learn about different kinds of matrices in Matrices. When students learn about the different kinds of matrices, they can think of new ways to solve the problem and get a better answer.

In RS Aggarwal Class 12 Solutions Chapter 5, students learn about the following kinds of matrices:

- Column Matrix: A matrix with one column and a number of rows that can vary.
- Row Matrix: A matrix with only one row and a different number of columns
- Square matrix is one where the order of m*n is such that m = n.
- Diagonal Matrix: A diagonal matrix is a square matrix in which all of the cells that are not on the diagonal are set to zero.
- Scalar Matrix: A square matrix is called a scalar matrix if the diagonal elements are all the same.
- Identity Matrix: A type of square matrix in which all the elements on the diagonal are 1 and the rest are 0.
- Zero Matrix: A zero matrix, also called a null matrix, is a matrix that has all of its cells set to zero.
- Equal Matrices: Two matrices are said to be equal if they have the same order and each element of matrix A is the same as each element of matrix B.

**4. Why should someone study the solutions to RS Aggarwal Class 12 Chapter 5 before the Board exams?**

Ans – Math is not an easy subject, and if you don’t understand it well, it can turn into a nightmare. Practice is the only way to get good at math.

So, RS Aggarwal Solutions for Class 12 Matrices is the best material for students who want to do well on their board exams. It is put together by carefully chosen teachers from all over India with the latest CBSE curriculum in mind. It will help students get their basic questions answered. They will learn about the different subtopics in the Matrices chapter and which ones they need to practise more. The book also has a section with questions for competitive exams like JEE Main, Advanced, Neet, and many more.