ISOMORPHISM of Vector Spaces | FREE Linear Algebra Course

In this video, we define isomorphism of vector spaces. We discuss what it means for vector spaces to be isomorphic. We prove that isomorphic vector spaces have equal dimensions.

This video is part of a linear algebra course

Students often ask is linear algebra important and is linear algebra hard. They wonder can anyone learn linear algebra and why some can't understand linear algebra. It is important to show to the students how linear algebra is used in data science, machine learning, AI, computer science, image processing, computer graphics, and in real life in general. This is a free video course in linear algebra for everyone, even beginners. It covers linear algebra with applications.

CHAPTERS:
0:00 Intro and learning outcomes
0:25 Structure of vector spaces
2:14 What are isomorphic vector spaces?
3:01 Example of isomorphic vector spaces
4:54 Isomorphic vector spaces have equal dimension
7:02 Now what?

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