Vectors

Vectors are the most fundamental building block of linear algebra.

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📄️ Thinking about Vectors

Vectors are the fundamental building blocks of linear algebra.

📄️ Basic Vector Operations

Now that we have a good understanding of what vectors are, we can start talking about some basic operations we can perform on vectors.

📄️ Linear Combinations and Related Concepts

Previously, we introduced the two fundamental operations of vectors: addition and scalar multiplication.

📄️ Formalizing Vector Spaces

Previously, we discussed what vectors are and how they can be represented in different ways.

Overview

This is a rather short part of the notes, as it just provides a basic conceptual introduction to vectors. We will begin by discussing what vectors are, and how they can be represented in different ways.

Then, we will discuss the operations that define vectors, such as addition and scalar multiplication.

Finally, we will discuss some concepts related to vector spaces, such as linear independence and basis vectors.