# Matrices and Determinants Class 11 Mathematics Solutions | Exercise - 5.1 ## Chapter - 5  Matrices and Determinants

In class 11 matrices and determinants chapter, we learn the addition, subtraction and multiplication of 3×3 matrices. We already have learned the process of addition and subtraction of 2×2 matrices in class 10. The process is different for 3×3 matrices as the process is lengthy.

Before we move towards the solution of matrices and determinant chapter it is important for us to learn about the topics and subtopics involved in matrices and determinants chapter. So let's have a brief introduction of the matrices and determinants chapter.

### Introduction

Matrices and determinants are two related mathematical concepts used in linear algebra. A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. The numbers, symbols, or expressions in the matrix are known as its elements or entries.

A determinant is a number that is derived from the elements in a matrix and it is used to describe the properties of the matrix. Determinants are used to solve systems of linear equations, calculate the inverse of a matrix, and calculate the volume of a parallelepiped.

### Some Special Types of Matrices

In class 10, we have learned only about 4 types of matrix but in class 11 we have to study about 6 different types of matrices. Let's have a quick look at the type of matrices.

• Square Matrix
• Unit Matrix or Identity Matrix
• Zero Matrix or Null Matrix
• Triangle Matrix
• Symmetric Matrix
• Skew-symmetric Matrix

### Transpose of a Matrix

The new matrix obtained from a given matrix A by interchanging its rows and columns is called the transpose of A. It is denoted by A' or Aᵀ. You can just remember the format of finding the transpose of the given matrix and it will be easier for you to solve any problem of same kind. ### Exercise - 5.1

In this PDF, you'll find the solution of class 11 matrices and determinants chapter. It contains all the solutions of exercise- 5.1, if you want the solutions of other exercises then you'll find them above this PDF. Just click on the button and you'll reach your destination.

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## Is Class 11 Mathematics Guide Helpful For Student ?

I have published this Notes for helping students who can't solve difficult maths problems. Student should not fully depend on this note for completing all the exercises. If you totally depend on this note and simply copy as it is then it may affect your study.

Student should also use their own will power and try to solve problems themselves. You can use this mathematics guide PDF as a reference. You should check all the answers before copying because all the answers may not be correct. There may be some minor mistakes in the note, please consider those mistakes.

## How to secure good marks in Mathematics ?

As, you may know I'm also a student. Being a student is not so easy. You have to study different subjects simultaneously. From my point of view most of the student are weak in mathematics. You can take me as an example, I am also weak in mathematics. I also face problems while solving mathematics questions.

If you want to secure good marks in mathematics then you should practise them everyday. You should once revise all the exercise which are already taught in class. When you are solving maths problems, start from easy questions that you know already. If you do so then you won't get bored.

Maths is not only about practising, especially in grade 11 you to have the basic concept of the problem. When you get the main concept of the problem then you can easily any problems in which similar concept are applied.

When your teacher tries to make the concept clear by giving examples then all students tries to remember the same example but you should never do that. You can create your own formula which you won't forget later.

If you give proper time for your practise with proper technique then you can definitely score a good marks in your examination.

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