RS Aggarwal Class 12 Solutions Chapter 7

1. What is Adjoints?

Ans – The cofactor matrix of a given matrix is said to be the adjoint of that matrix. Any matrix that can be written as (A) also has an adjoint, which is written as adj (A). Also, if you multiply the matrix by its inverse, you will get A-1, which is the identity matrix. You could even say that an identity matrix is a unit matrix where both the matrix A and its inverse are (n x m) square matrices with ones on one diagonal and zeros everywhere else.

2. What are the different kinds of matrics?

Ans – There are six different kinds of matrices: square, symmetric, triangular, diagonal, identity, and orthogonal. From these six matrices, only a few are used often. These are Square matrices, which means that the number of rows and columns are the same. On the other hand, a rectangular matrix is one that doesn’t have the same number of rows and columns.

In the same way, the symmetric matrix is also a square, but the triangles in the top right and bottom left corners are the same. The diagonal matrix is one in which all of the values outside of the main diagonal have zero, and the main diagonal goes from the top left to the bottom right. Last, there’s an identity matrix, whose vectors don’t change when you multiply them.

3. What are the different theorems that RS Aggarwal Class 12 Solutions Chapter 7 explains?

Ans – In RS Aggarwal Class 12 Solutions Chapter 7 tells the students about four different theorems. These theorems help the students understand the main ideas of the chapter better. Here is a list of the four theorems:

• First theorem: If A is any n-by-n square matrix, then A (Adj A) is the same as (Adj A) A, which is the same as A I, where I is the n-by-n identity matrix.
• Theorem 2: If A and B are both non-singular matrices of the same order, then AB and BA are also of the same order.
• Theorem 3: If A and B are both square matrices of the same order, then the determinant of their product is equal to the product of their determinants, i.e., IAI IBI = AB
• Theorem 4: If A is not singular, then A is also a square matrix that can be turned into a singular matrix.

4. How do I study for my board exams for Class 12 Chapter 7?

Ans – Students in class 12 have to work hard to do well on the board exams with help of utopper Study materials like previous year papers, sample papers, important questions. Not only do they have to study for the board exams, but they also have to prepare for the competitive exams. Because of this, it is important to get a good grasp of the ideas. Students can study for class 12 chapter 7 with the help of the RS Aggarwal Class 12 Solutions Chapter 7 on Utopper.