Introducing Linear Combinations Span - Latest Information & Updates 2026

We saw Vector Addition & Scalar Multiplication in 1.3 Part I. Now we take arbitrary

The fundamental concepts of

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I explain what the

Now that we know what vector spaces are, let's learn about subspaces. These are smaller spaces contained within a larger vector ...

Learn the basics of

Learning Objectives: 1) Algebraically compute a

In this video, I explain some sample problems from Lecture 8 and Lecture 9. Lecture 8: ...

This video introduces and defines

Put the vectors in a matrix, row reduce, and the number of pivots you get is the dimension of the

0:00 General Scaling in R2 1:55

In this lecture, we discuss

... hopefully by watching this video you now have a better understanding of how to visualize