# NCERT Solutions Class 12 Maths Chapter 3 Matrices

NCERT Solutions for Class 12 Maths Chapter 3 Matrices provide a detailed explanation of all the fundamental concepts covered under this topic. Matrices are an indispensable part of maths studies that simplifies work to a great extent. The topic of matrices finds its applications in various branches of mathematics. It is a simple method for solving linear equations. The applications of matrices are not only limited to representing the coefficients of linear equations; they are also used in electronic spreadsheets that are required in business and science. Moreover, the use of matrices is also prevalent in genetics, economics, sociology, modern psychology, and industrial management. Thus, it is crucial to attaining a deep knowledge of this topic and its applications.

NCERT Solutions Class 12 Maths Chapter 3, students will become acquainted with the fundamentals of matrix and matrix algebra. Some of the important topics explained in this chapter are based on understanding the representation of matrices, their orders, types, and algebra. With the regular practice of Class 12 Maths NCERT Solutions Chapter 3, students will quickly gain a deep understanding of this topic. To learn and practice with NCERT Solutions Chapter 3 Matrices, download the exercises provided in the links below.

- NCERT Solutions Class 12 Maths Chapter 3 Ex 3.1
- NCERT Solutions Class 12 Maths Chapter 3 Ex 3.2
- NCERT Solutions Class 12 Maths Chapter 3 Ex 3.3
- NCERT Solutions Class 12 Maths Chapter 3 Ex 3.4
- NCERT Solutions Class 12 Maths Chapter 3 Miscellaneous Exercise

## NCERT Solutions for Class 12 Maths Chapter 3 PDF

A matrix is a rectangular arrangement of an array of numbers or functions. These numbers or functions are known as the elements of the matrix. NCERT Solutions for Class 12 Maths are meticulously formulated guides that promote the fundamental understanding of the representation of matrices along with their properties and their types. To practice with these solutions, click on the links of the pdf files given below.

**ā** Download Class 12 Maths NCERT Solutions Chapter 3 Matrices

**NCERT Class 12 Maths Chapter 3 **

### NCERT Solutions for Class 12 Maths Chapter 3 Matrices

NCERT solutions Class 12 Maths Chapter 3 Matrices are highly competent guides that efficiently impart the complete knowledge of Matrices and their applications. These resources deliver deep conceptual knowledge of each concept to strengthen the students’ key skills. The interactive format of these solutions is pretty apt for in-depth study of all topics. To practice the exercise-wise NCERT Solutions Class 12 Maths Matrices, try the links given below.

- Class 12 Maths Chapter 3 Ex 3.1 - 10 Questions
- Class 12 Maths Chapter 3 Ex 3.2 - 22 Questions
- Class 12 Maths Chapter 3 Ex 3.3 - 12 Questions
- Class 12 Maths Chapter 3 Ex 3.4 - 18 Questions
- Class 12 Maths Chapter 3 Miscellaneous Ex - 15 Questions

ā Download CBSE Class 12 Maths Chapter 3 NCERT Book

**Topics Covered:** The topics covered in NCERT Solutions Class 12 Maths Chapter 3 are an introduction to fundamentals of the matrix, order of a matrix, types of matrices, operations on matrices, transpose of a matrix, symmetric and skew-symmetric matrices, elementary operation of a matrix, and invertible matrices. The important subtopics included in this chapter are the properties of matrix operations and the transpose of a matrix.

**Total Questions:** Class 12 Maths Chapter 3 Matrices has 62 questions in 4 exercises along with 15 more provided in a miscellaneous exercise. Out of these 41 questions are short answer types, 11 multiple choice questions, and 25 long answer type questions.

## List of Formulas in NCERT Solutions Class 12 Maths Chapter 3

A matrix is a rectangular array of numbers represented as rows and columns. Performing arithmetic operations on matrices requires a basic understanding of their types, rules, and properties. Thus, it is highly important to concentrate on the laws, and identities of matrices. NCERT Solutions Class 12 Maths Chapter 3 explains each of these concepts with the help of interactive illustrations. Some of the important terms and definitions elaborated in these NCERT Solutions for Class 12 Maths Chapter 3 are given below.

**Order of Matrix:**The order of the matrix is defined as the product of the number of rows by the number of columns. A matrix with ‘m’ rows and ‘n’ columns is known as a matrix of order m × n. The numerical notation of a matrix A of order m x n is A = [a_{ij}]_{m × n}

**Column Matrix:**A matrix of order m x1 is known as a column matrix. The notation used to represent a column matrix is [a_{ij}]_{mx1}.

**Row Matrix:**A matrix of order 1 x n is known as a row matrix. The notation used to represent a column matrix is [a_{ij}]

**Square Matrix:**A matrix of order m × n matrix is a square matrix if m=n.**Diagonal Matrix:**A matrix M = [a_{ij}]_{m×m}is called a diagonal matrix if a_{ij}= 0, when i is not equal to j.

**Scalar Matrix:**A matrix M = [a_{ij}]n×n is known as a scalar matrix if a_{ij}=0 when i is not equal to j and a_{ij}= k, when i is equal to j, where k is some constant.

**Identity Matrix:**A matrix M = [a_{ij}]_{n×n}is an identity matrix if a_{ij}= 1, when i = j, a_{ij}= 0, when i≠j.

**Zero Matrix:**A matrix with all its elements as zero is called a zero matrix.

**Equal Matrices:**Two matrices A and B are said to be equal if they have the same order and equal corresponding elements, i.e., the value of a_{ij}= b_{ij}for all i and j.

**Negative of a Matrix:**The negative of a matrix is denoted by – A. It can be represented as -A = (-1) A

## FAQs on NCERT Solutions for Class 12 Maths Chapter 3

### What is the Importance of NCERT Solutions for Class 12 Maths Chapter 3 Matrices?

NCERT Solutions for Class 12 Maths Chapter 3 Matrices are purposefully designed by subject experts to deliver a deep conceptual understanding of fundamentals. With the thorough practice of these solutions, students can perform strategic exam preparation. These well-framed solutions are apt for raising the math proficiency and confidence in students required to face various competitive exams. Practicing with these resources also promotes a sense of self-accomplishment.

### What are the Important Topics Covered in NCERT Solutions Class 12 Maths Chapter 3?

Chapter 3 Matrices of class 12 Maths briefly defines all the important applications and uses of matrices in various subjects and disciplines. The important topics covered in the NCERT Solutions Class 12 Maths Chapter 3 are the order of a matrix, types of matrices, their mathematical operations, transpose of a matrix, symmetric matrices, skew-symmetric matrices, elementary operation, and invertible matrices. Solving the complete set of questions provided in these solutions will be quite helpful in improving the fundamental understanding of matrices. The prime objective of these solutions is to improve the learnability and math potential of kids to help them achieve their desired results.

### Do I Need to Practice all Questions Provided in NCERT Solutions Class 12 Maths Matrices?

Practicing all the questions included in NCERT Solutions Class 12 Maths Matrices gives a step-by-step knowledge of each topic. Questions in these solutions are well-placed at a gradually increasing level to help students comfortably adjust to the rising complexity. Students can quickly grasp the core fundamentals of Matrices and their applications by solving and practicing these sums. Learning with these solutions is also beneficial in preparing for various competitive exams and higher-level studies.

### How Many Questions are there in Class 12 Maths NCERT Solutions Chapter 3 Matrices?

NCERT Solutions Class 12 Maths Chapter 3 Matrices has 77 questions in 5 exercises. Practicing these questions ensures an accurate and clear understanding of this topic. Students can also plan systematic learning of these exercises and concepts based on Matrices. The lucid format of these solutions is efficient in acquiring a sound knowledge of the operations and types of Matrices.

### What are the Important Formulas in NCERT Solutions Class 12 Maths Chapter 3?

NCERT Solutions Class 12 Maths Chapter 3 mainly focuses on the Matrices, their types, and properties. Some of the important concepts explained in these solutions are based on arithmetic operations and the properties of matrices. These topics are covered in detail with the help of examples and illustrations. These solutions are heavily focused on imparting a precise conceptual understanding of fundamentals.

### Why Should I Practice NCERT Solutions for Class 12 Maths Chapter 3 Matrices?

NCERT Solutions for Class 12 Maths Chapter 3 Matrices is a competent learning resource that offers complete guidance and practice of core concepts for higher-level studies. These solutions cover the whole syllabus of CBSE Class 12 Maths Chapter 3 to provide comprehensive learning of all topics. The format of these solutions is pretty convenient to clear doubts and learn complex concepts. With the thorough practice of these resources, students can ensure good results in their annual maths exam.