Page 122 - Touhpad Ai

3
UNIT

MATHEMATICS

FOR AI

LEARNING OBJECTIVES
Introduction to Matrices
Types of Matrices
Applications of Matrices in AI
Operations on Matrices
Vector Arithmetic
Context Setting
Set Theory
Relational Algebra
Set Operations
Introduction to Data Table Joins
Simple Statistical Concepts
Variance and Standard Deviation

Introduction to Matrices

The knowledge of matrices is necessary in all branches of Mathematics. Matrix is one of the most powerful tools in
Mathematics. Compared with other methods, it greatly simplifies the calculations.
In mathematics, a matrix (plural matrices) is a rectangular arrangement of numbers. The numbers are arranged in
tabular form as rows and columns.
Let us understand with the help of an example:

Ganga bought 12 oranges and 5 apples.
Hemant bought 10 oranges and 7 apples.
Gargi bought 5 oranges and 2 apples.
The above information can be arranged in tabular form as follows:
Oranges Apples

Ganga 12 5
Hemant 10 7
Gargi 5 2
And this can be represented as:
Row1 12 5
Row2 10 7
Row3 5 2
Col1 Col2

120 Touchpad Artificial Intelligence - XI