Understanding Vectors

Vectors form a fundamental basis in linear algebra and play a pivotal role in machine learning applications. By comprehending the concept of vectors, you will be equipped to handle a wide range of mathematical and computational tasks. This chapter aims to demystify vectors by explaining their nature, operations, and significance.

Throughout this chapter, you'll learn how to describe vectors both geometrically and algebraically, distinguishing them from other mathematical objects. We will cover vector operations such as addition, subtraction, and scalar multiplication, which are essential for manipulating vectors in various dimensions. You will also explore the concept of vector spaces and understand how vectors can represent data in machine learning models.

By the end of this chapter, you will be able to interpret and utilize vectors confidently, establishing a strong foundation for more advanced topics in linear algebra and their applications in machine learning.