Vectors and Spaces

The fundamental building blocks of linear algebra are vector spaces. They are defined by a set of objects called vectors and operations that can be performed on these vectors. We will take a semi-formal approach to defining vectors and vector spaces, and then explore some of the properties and operations that define them.

Pages

📄️ Underlying Algebraic Structures

We begin our journey into linear algebra by discussing the most fundamental building block: vector spaces.

📄️ Span, Linear Independence, and Basis

In this section, we will explore the concepts of span, linear independence, and basis in the context of vectors and vector spaces.