## RD Sharma Class 12 Solutions Chapter 7 - Adjoint and Inverse of a Matrix (Ex 7.2) Exercise 7.2 - Free PDF

## FAQs on RD Sharma Class 12 Solutions Chapter 7 - Adjoint and Inverse of a Matrix (Ex 7.2) Exercise 7.2

**1. What are the properties of Inverse and Adjoint of a Matrix?**

There are two properties of Inverse and Adjoint of a Matrix. The first one is for a square matrix A of order n, A adj(A) = adj(A) A = |A|I, where I am the identity matrix of order n. The 2nd property is that a square matrix A is invertible if and only if A is a non-singular matrix. These are the two properties of Inverse and Adjoint of a Matrix.

**2. Can we do addition and subtraction in Matrices?**

Yes, we can do several operations like addition, subtraction and multiplication if the Matrices are of the same dimension. Matrices can be defined by rows and columns. A common way to express Matrices is m x n or m by n where m is the number of rows and n is the number of columns. Thus, you may perform various operations if they satisfy the requisite conditions.

**3. What are minors and cofactors?**

Minor of an element aij of a determinant can be defined as the Determinant obtained by deleting its ith row and jth column in which element aij lies. Minor of an element aij is represented by Mij. Whereas, the cofactor of an element aij, denoted by Aij is defined by Aij = (–1) I + j Mij, where Mij is minor of aij. You must remember that if elements of a row (or column) are multiplied with cofactors of any other row (or column), then their sum is zero.

**4. Is this Chapter important for IIT JEE?**

Yes, this Chapter is important for IIT JEE and other State Engineering Exams as well. The students might find it hard to cover the whole syllabus but the subject experts on Vedantu can help them, giving them proper guidance and the necessary tips required to complete the syllabus on time. It’ll be free of cost. Students can also register for IIT JEE coaching on Vedantu and start their preparations for the entrance examinations.

**5. Can I get free NCERT solutions?**

Yes, Vedantu provides free NCERT solutions which are solved with explanations. You can simply log in to the Vedantu app or website and find the necessary materials they are looking for. You can download the PDF file of the NCERT solutions which is free of cost and easy to refer to whenever it is required. In addition, you can talk to our subject-matter experts to clear your doubts if you have any. They have many years of teaching experience which will be extremely helpful for your studies.