RS Aggarwal Class 12 Solutions Chapter-7 Adjoint and Inverse of a Matrix

RS Aggarwal Solutions

RS Aggarwal Class 12 Solutions Chapter-7 Adjoint and Inverse of a Matrix

Class 12 RS Aggarwal Chapter-7 Adjoint and Inverse of a Matrix Solutions - Free PDF Download

After completing RS Aggarwal class 12 adjoint and the Inverse of a matrix, students will know how to find the transpose of the matrix’s cofactors along with its Inverse. It will also teach students about how and when to use different operation on the columns of the matrix.

You get the concepts of matrix and adjoints that will stay with you for a long time if you plan to pursue a bachelor in engineering.

RS Aggarwal Class 12 Chapter 7 Solutions

The RS Aggarwal class 12 chapter 7 solutions contain an answer to each question which you can find at the back of your RS Aggarwal textbook. From multiplication of the elements present in the matrix to inverting the matrix to find whether it proves the invertible symmetric matrix rule, students will be learning to solve short and long five marks questions.

As a result, learning becomes new concepts, and the formula will be much easier to solve adjoint related problems. RS Aggarwal questions are said to be one of the toughest to solve, and that’s why we have come up with the solution Pdf of ours.

Tips on How to Prepare for RS Aggarwal Adjoint and Inverse of a Matrix

The RS Aggarwal class 12 maths chapter 7 is easier compared to the other chapters of the same textbook. But you still need to pay full attention to all the concepts you are learning as you go through the chapter page by page.

Likewise, the concepts such as adjoint, the Inverse of a matrix, and different types of a matrix cannot be cramped in your head just by looking at the solutions. You need to perform the solution on your own to know where and how to use the formula.

Lastly, RS Aggarwal adjoint and Inverse of a matrix is the topic you need to enjoy as its concepts will be with you for a lifetime. You will be using them in your daily life to solve mathematical problems or even computational problems related to data and codes.

Benefits of Solving RS Aggarwal Class 12 Adjoint and Inverse of a Matrix

Given below, we have pointed out some of the benefits you get when using our solution Pdf to steer clear from doubts and mistakes.

When you are using Vedantu’s RS Aggarwal adjoint and the Inverse of a matrix solution pdf, you are not only getting an answer to the questions you see in the textbook but the special tips and tricks which can help you solve the problem much quicker.

The solutions are made for the students to help them develop clarity for the topic and the concepts they will use to solve the questions from this chapter.

You will be studying about six different types of matrices and how they are related to each other.

When we look at the RS Aggarwal class 12 maths chapter 7 from the competition point of view, we can see it plays a vital role in providing students with a chance to score better marks if they know all the concepts this chapter 7 has to offer.

That’s why we at Vedantu provide students with complete step-by-step solutions to even MCQs and one-mark questions. So, our students get the best scores in their exams.

FAQs on RS Aggarwal Class 12 Solutions Chapter-7 Adjoint and Inverse of a Matrix

1. Define Matrices, and Where do we see it in the Real World?

Matrices are used in our daily world more than one can think. We get to see its usage in front of our eyes every day when we are at work or in the university studying complex topics. Graphic software such as Adobe’s Photoshop and Premiere Pro uses matrices to process the linear transformations used to render the images. A square matrix can easily represent the transformation of the geometric object.

Also, several IT companies use matrices in their data structures to track down the user information, perform the search of queries and manage their database. You can find out the usage of matrices not only in tech but even in geology matrices are used to learn about seismic surveys. Lastly, they are used to map out real-world data such as the population of a specific region, infant mortality rate, etc. these are some of the real-world use cases of matrices.

2. What are Adjoints?

An adjoint of a given matrix is said to transpose the cofactor matrix of a given matrix. Any given matrix that can be written as (A) will have its adjoint, denoted as adj (A). Also, when you multiply the matrix with its Inverse, you will get the identity matrix represented by A^-1. You can even say an identity matrix to be a unit matrix where the size of both the matrix A and its Inverse is (n x m) square matrix that needs to have ones on one of its diagonal and zeros present elsewhere.

3. What are Different Types of Matrics?

There are six different types of matrices to be precise: Square matrix, Symmetric matrix, Triangular matrix, Diagonal matrix, Identity matrix, and Orthogonal matrix. From these six matrices, there are only a few matrices that are used commonly. These matrices are Square matrices in which the number of rows is equal to the number of columns. On the other hand, a matrix that doesn’t have an equal number of rows and columns will be considered a rectangular matrix.

Likewise, the symmetric matrix is also a square matrix in which the top right triangle is the same as the bottom left triangle. The Diagonal matrix in which the values present at the outside of the main diagonal have zero value and the main diagonal is taken from the top left of the matrix to the bottom right. Lastly, there’s an identity matrix that doesn’t change any of its vectors when multiplied.

4. What are the different theorems explained in chapter 7 of Class 12 RS Aggarwal?

Chapter 7 RS Aggarwal of class 12 mathematics explains four different theorems to the students. These theorems help explain the concepts of the chapter better to the students. The four theorems are as follows:

1. Theorem 1:

If A is any square matrix of order n, then A (Adj A) is equal to (adj A) A, which is equal to A I, where ‘I’ is the identity matrix of order n

2. Theorem 2:

AB and BA are non-singular matrices of the same order if A and B are non-singular matrices of the same order.

3. Theorem 3:

A and B are square matrices of the same order, then the determinant of the product of matrices is equal to the product of their determinants, i.e.,

AB=IAI IBI

4. Theorem 4:

If A is a non-singular matrix, then square matrix A is invertible as well.

5. How do I prepare for Class 12 Chapter 7 For my board exams?

Students have to work hard in class 12 to score high marks in the board exams. They have not only to prepare for the board exams but also for the competitive exams. Therefore, it is important to understand the concepts properly. Students can prepare class 12 chapter 7 from the RS Aggarwal Class 12 Solutions Chapter 7 that is available on Vedantu.