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RS Aggarwal Class 12 Solutions Chapter-5 Matrices

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Last updated date: 17th Apr 2024
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Class 12 RS Aggarwal Chapter-5 Matrices Solutions - Free PDF Download

Class 12 is generally very vital here for any student. After this, a student usually heads for their professional career based on their board exam results. Hence, RS Aggarwal Solutions Class 12 Matrices are essential for any student preparing for the 12 board examinations. RS Agarwal is a much-demanded book among students in the 12th standard.

Competitive Exams after 12th Science

Content of Chapter 5 Matrices Class 12

The fifth chapter of RS Aggarwal Class 12 book consists of all about Matrices. The topic Matrices are an essential topic for students because questions are very straightforward from this section. If you understand the concepts clearly, then you can score full marks from this chapter. The chapter starts with the introduction of Matrices, their definition, the order of a matrix, coefficient, and augmented matrix of a set of linear equations. Next, you have the classification of different types of Matrices like row, column, null or zero, diagonal, scalar, unit, or identity matrix. After that, we have a theorem on the equality of two Matrices.


Further, as you dive deeper into the chapter, you get to learn about symmetric and skew-symmetric matrices. Next, you have operations on Matrices such as addition, subtraction, multiplication of a matrix with scalar quantity, and multiplication of two matrices. Further, there are singular nonsingular matrices and two non-zero matrices whose product is a zero matrix. Next, you have ways to find out the transpose of a matrix and methods to find out the adjoint or adjugate of a given matrix. It is followed by an essential topic that is finding out the inverse of a matrix. Lastly, the chapter ends with checking whether a matrix is orthogonal or not, finding out the rank of a matrix, and Martin’s Rule. All these chapters are covered in RS Aggarwal Solutions Class 12 Matrices.


Content of RS Aggarwal Class 12 Matrices Solutions

The RS Aggarwal Class 12 Solutions Matrices are the most popular materials amongst students preparing for board exams. It is under the current syllabus and curriculum. Maths is generally not a subject to memorise. All it requires is hard work and practice. Hence, RS Aggarwal Class 12 Solutions Matrices have many problems to solve. In addition to that, it also has solutions that make you understand the exact steps of solving the sum. A student realises how to write an answer to fetch full marks in the board exams. Matrices is not a very difficult chapter. It is a very scoring chapter with straightforward questions. The chapter has a wide range of problems starting from short ones to lengthy questions also.


Benefits of RS Aggarwal Class 12 Matrices Solutions

The Matrices Class 12 RS Aggarwal Solutions are very beneficial for students as it is prepared by expert and experienced faculty. The questions provided will give the student an idea regarding the kind of questions that will appear in the board exams. All solutions are absolutely by the latest CBSE syllabus. It will help students realise which portions of the chapter they need to focus on and practice more. They will also realise how to manage the time for the questions which take more time to solve. The Matrices Class 12 RS Aggarwal solutions are provided in easy and simple language for every student to understand the subject properly. It will also help in building a foundational structure for mathematics among students even for their higher studies. And most importantly RS Aggarwal Class 12, Chapter 5 solutions help students clarify their concepts from the basics.

FAQs on RS Aggarwal Class 12 Solutions Chapter-5 Matrices

1. Why should one study RS Aggarwal Class 12 Chapter 5 solutions before the Board examinations?

Maths is not an easy subject and it can turn into a nightmare if not understood properly. Only practice can make mathematics perfect. Hence RS Aggarwal Solutions Class 12 Matrices is the best student-friendly material for someone wishing to get good results in the board exams. It is prepared by handpicked faculties across India with the latest CBSE syllabus in mind. It will help students clarify their doubts at the foundational level. They will get to know about the different subtopics under the Matrices chapter and which part they need to practice more. The book also consists of a section of questions for competitive level examinations like JEE Main, advanced, Neet, and many more.

2. How can I get access to the RS Aggarwal solutions Class 12 Matrices?

Nowadays, accessing any study material is easy as everything is available over the internet. Hence, getting access to the RS Aggarwal solutions Class 12 Matrices is also easy. For easy access to these solutions refer to the PDF provided here. Vedantu has uploaded the PDF of the solution on their websites. So you can go there and click on the download link and get the PDF file. Most importantly all these come for free. Hence, there is no one to stop you from studying. Without wasting any more time we should download it and start your exam preparation. At the end of the chapter, you also have revision problems to revise thoroughly.

3. What kinds of questions are asked in Chapter 5 of Class 12 Mathematics RS Aggarwal solutions?

Chapter 5 of Class 12 Mathematics RS Aggarwal contains a total of 124 questions divided amongst six exercises for the students to attempt. These questions are based on various topics along with the chapter and increase in difficulty along with the exercise numbers. The first exercise, Exercise 5A is based on the identification of matrices while Exercise 5B contains questions regarding the verification of various identities of the given matrices. Exercise 5D deals with the topics of transpose and inverse matrix and the final two exercises, that is Exercise 5E and 5F have questions on the concept of inverse row operations and other mixed bag problems based on matrices. 

4. What is the syllabus for the Class 12 Mathematics board exam?

The syllabus for Class 12 Mathematics for CBSE contains a total of 13 chapters that are tested in the final 80 mark board exam. These chapters are designed to teach the students all the fundamental concepts that they need to know for their competitive exams and further studies. NCERT Class 12 mathematics chapters revision notes and their solutions can be found on the Vedantu website by the students along with popular reference book solutions like RS Aggarwal. The following chapters are the part of Class 12 Mathematics syllabus:

  1. Chapter 1: Relations and Functions

  2. Chapter 2: Inverse Trigonometric Functions

  3. Chapter 3: Matrices

  4. Chapter 4: Determinants

  5. Chapter 5: Continuity and Differentiability

  6. Chapter 6: Application of Derivatives

  7. Chapter 7: Integrals

  8. Chapter 8: Application of Integrals

  9. Chapter 9: Differential Equations

  10. Chapter 10: Vector Algebra

  11. Chapter 11: Three Dimensional Geometry

  12. Chapter 12: Linear Programming

  13. Chapter 13: Probability

5. What types of matrices are covered in Chapter 5 of Class 12 Mathematics RS Aggarwal? 

Chapter 5 of Class 12 Mathematics RS Aggarwal Matrices includes various types of matrices for the students to learn. Learning about the type of matrices can help students to tackle the problem in new approaches and solve the question better. The following type of matrices are taught in Chapter 5 of RS Aggarwal:

  1. Column Matrix: A matrix having one column and multiple or varying numbers of rows.

  2. Row Matrix: Matrix with only one row and a varying number of columns

  3. Square Matrix: A matrix in which the order m*n is such that m=n

  4. Diagonal Matrix: A square matrix with all of its non-diagonal elements as zero is said to be a diagonal matrix

  5. Scalar Matrix: If the diagonal elements of a square matrix are equal then it is said to be a scalar matrix.

  6. Identity Matrix: Identity Matrix is a type of square matrix whose diagonal elements are all 1 and the rest are all 0. 

  7. Zero Matrix: A matrix with all its elements as zero is called a zero matrix or null matrix.

  8. Equal Matrices: If two matrices are said to be of the same order and each element of matrix A corresponds to each element of matrix B then the two matrices are said to be equal. 

One can also study for competitive exams like JEE Advanced and Mains, NEET, and other exams with RS Aggarwal Class 12 Matrices solutions. The book has question banks of previous years that help students plan their course of study. The questions are following the latest syllabus. Again, the solutions help to clarify various doubts of the students regarding the Matrices topic.