First Year Math Chapter 3 Notes Matrices and determinats

  First Year Math Chapter 3 Notes 

Unit no :3 Matrices and determinats 

These notes are available to view or download. These notes covers chapter no three of first year chapter name “ Matrices and Determinats “these notes cover the following topics

Matrices Definition

Matrices are the ordered rectangular array of numbers, which are used to express linear equations. A matrix has rows and columns. we can also perform the mathematical operations on matrices such as addition, subtraction, multiplication of matrix. Suppose the number of rows is m and columns is n, then the matrix is represented as m × n matrix.

Definition of Determinant

A determinant can be defined in many ways for a square matrix.

The first and most simple way is to formulate the determinant by taking into account the top row elements and the corresponding minors. Take the first element of the top row and multiply it by it’s minor, then subtract the product of the second element and its minor. Continue to alternately add and subtract the product of each element of the top row with its respective minor until all the elements of the top row have been considered.

For example let us consider a 4×4 matrix A.

FSc 1st year Math Chapter No. 3 contains a total of five exercises. These are:

• Exercise No. 3.1
• Exercise No. 3.2
• Exercise No. 3.3
• Exercise No.3.4
• Exercise No.3.5

Important question of this chapter is 

What is Sets ,functions and groups?

This chapter is about Sets, Functions, and groups. There are different types of sets like the equal set, superset, universal set, etc. There are several operations applicable to these sets. These sets have different properties and laws. Similarly, functions have different types. They have several properties and concepts. 

To download list of important questions click on the below button to download 👇👇👇

Download link 

For chapter 1 notes click below 👇 

1st year chapter 1 important questions 

1st year chapter 2 important questions 

For Class 12th notes click below 👇 

2nd year notes 

For video lectures subscribe our YouTube channel