Linear Algebra - What are Vectors? | Linear Algebra Basics

What exactly is a vector, and why is it so important in math and computer science? In this video, we'll build a clear understanding of vectors: what they are, how they work, and why they matter. You’ll see how vectors can represent points, directions, and even complex data. We'll also explore some simple operations like addition, scalar multiplication, and the dot product. By the end, you’ll understand: - What vectors are and how they’re written - How to add and scale vectors - How vectors connect to real-world applications in physics, computer graphics, and machine learning - Why vectors are the natural starting point before learning about matrices 📌 Timestamps: 0:46 Introduction 1:26 Vector in 2D 2:59 Vector Addition 4:47 Scalar Multiplication 6:26 Systems of Equations (Visualised) 8:01 Applications of Vectors If you’re interested in the next step, check out my video on matrices – the perfect follow-up to this introduction: https://youtu.be/Xnrx_B9_dL4