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UNIT-3
MATHS FOR AI
Learning Outcomes
• Introduction to Matrices • Order of Matrix
• Types of Matrices • Applications of Matrices in AI
• Operations on Matrices • Vector Arithmetic
• Set Theory • Relational Algebra
• Set Operations • Introduction to Data Table Joins
• Simple Statistical Concepts • Variance and Standard Deviation
• Visual Representation of Data • Simple Linear Equation and Regression
In this unit, we will learn about various mathematical concepts used with AI like matrices, set theory, relational
algebra, set operations, data table and various statistical concepts.
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 5 apples.
Hemant bought 10 oranges 7 apples.
Gargi bought 5 oranges 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 − Squarebrackets
Row3 5 2
Col1 Col2
160 Touchpad Artificial Intelligence (Ver. 2.0)-XI

