NCERT Solutions for CBSE Class 12 Maths Chapter 3

NCERT Solutions for Class 12 Maths Chapter 3: Important Topics

Matrices is one of the most interesting chapters of all the topics provided in Class 12 Maths. Once the basics of the topic are understood, students will find problem-solving a fun-loving experience. Furthermore, practicing the solutions will become easy and smooth.

Embibe offers NCERT solutions to every question provided at the end of the textbooks designed considering the latest syllabus. Moreover, students can learn the concepts, practice more than 1500 questions, and take tests on Embibe for free to achieve higher marks in their exams.

Below, we have provided the list of topics included in this chapter:

Sl.No	Topics
1	Basics of Matrices
2	Types of Matrices
3	Operation on Matrices
4	Symmetric and Skew-Symmetric Matrices
5	Elementary Operation (Transformation of a Matrix)
6	Inverse Matrix

NCERT Solutions for Class 12 Maths Chapter 3: Points to Remember

Every chapter has some important points and highlights that give a gist of the topics covered in it. Students can refer to them while revising their concepts. They can find the important points to remember for this chapter below.

A set of numbers (real or imaginary) or symbols or expressions arranged in the form of a rectangular array of m rows and n columns is called m×n matrix.

A square matrix A=[aij]n×n is called an identity or a unit matrix, if aij=0 for all i≠j and aij=1 for all i=j.

Commutativity: If A and B are two matrices of the same order, then A+B=B+A.

Associativity: If A,B,C are three matrices of the same order, then (A+B)+C=A+(B+C).

Existence of Identity: The null matrix is the identity element for matrix addition i.e., A+O=A=O+A

Existence of Inverse: For every matrix A=[aij]m×n, there exists a matrix −A=[−aij]m×n, such that A+(−A)=O=(−A)+A

Cancellation Laws: If A,B,C are three matrices of the same order, then A+B=A+C⇒B=C and, B+A=C+A⇒B=C

In order to find the inverse of a non-singular square matrix A by elementary operations, we write A=IA or A=AI

We perform a sequence of elementary row operations successively on A on the LHS and the pre-factor I on RHS till we obtain. The matrix B, so obtained, is the desired inverse of matrix A.

FAQs on NCERT Solutions for Class 12 Maths Chapter 3

Here are some frequently asked questions about the NCERT solutions for Class 12 Maths Chapter 3:

Q: Where can I find NCERT solutions for Class 12 Maths Chapter 3?

Ans: Students can find NCERT solutions for Class 12 Maths Chapter 3 on Embibe.

Q: What topics are covered under NCERT solutions for Class 12 Maths Chapter 3?

Ans: The list of topics covered under NCERT solutions for Class 12 Maths Chapter 3 is mentioned on this page.

Q: What are the benefits of solving NCERT Solutions for Class 12 Maths Chapter 3 from Embibe?

Ans: All the questions of the Matrices chapter of Class 12 Maths provided by Embibe come with detailed step-wise solutions. This helps them learn the process to solve problems systematically.

Q: Where can I take mock tests for Class 12 Maths?

Ans: Students can take free mock tests for Class 12 Maths on Embibe.

Q: Is the Chapter Matrices in Class 12 Maths tough?

Ans: The Chapter Matrices in Class 12 Maths is one of the easiest and most scoring chapters in Class 12 Maths.

We hope you found this article useful. Stay tuned to Embibe for the latest updates and more such study resources.