Complete Guide To Vectors in Linear Algebra With Implementation in Python

Complete Guide To Vectors in Linear Algebra With Implementation in Python. This article takes you to a journey while discussing a basic and important aspect of mathematics that is used in Machine Learning, vectors.

The study of Mathematics has come a long way. From the discovery of zero to solving complex integral equations which somewhere surely has impacted the lives of many. Well, not many realise it but if maths had not been there, we wouldn’t have been able to sit in front of our laptops, these beautiful architectural monuments we see today wouldn’t have existed, we would never have been able to reach the moon or discover more about the black hole etc.

Realising the importance of maths and how it is valued among the researchers of tech giants for the purpose of Machine Learning or Computation, I will take you to a journey while discussing a really basic yet an important aspect of mathematics that is used in Machine Learning, vectors.

Overview

1. Physical Quantities.
2. Vector and Scalars
3. Representation of vectors.
4. Types of Vectors
5. Operations on Vectors
6. Section Formula
7. Concept of Euclidean Distance between two vectors.
8. Where are vectors used in Machine Learning

What are Physical Quantities

Any quantity that can be measured in terms of numbers is called a physical quantity. Measurements in terms of size, mass etc. Let us understand it better with an example, your mom has asked you to buy 2 Kilograms of tomatoes, you convey the amount you want to buy to the vendor. He “measures” the mass and then gives you the desired quantity of tomatoes. Here since the mass can be measured in terms of numbers, it will be called a physical quantity.

Let’s delve a little more into it.

Physical quantities can be categorized into 2 categories: Scalars and Vectors..

Linear Algebra for Machine Learning | Data Science | Machine Learning

Linear algebra is one of the most important topics in machine learning. In this article, I will introduce you to the basic concepts of linear algebra for machine learning using NumPy.

Most popular Data Science and Machine Learning courses — July 2020

Most popular Data Science and Machine Learning courses — August 2020. This list was last updated in August 2020 — and will be updated regularly so as to keep it relevant

Applications Of Data Science On 3D Imagery Data

The agenda of the talk included an introduction to 3D data, its applications and case studies, 3D data alignment and more.

15 Machine Learning and Data Science Project Ideas with Datasets

Learning is a new fun in the field of Machine Learning and Data Science. In this article, we’ll be discussing 15 machine learning and data science projects.

Linear Algebra for Data Science: A new way to start — Part 1

Linear Algebra for Data Science: A new way to start Ideas and suggestions from Prof. Gilbert Strang’s Vision of Linear Algebra