Change of Basis Explained Through Real World Context

Changing bases in linear algebra can feel abstract — but it’s really just like converting between different units in the real world. In this video, we’ll use a simple food example to show how changing from one “unit system” to another works the same way as changing bases with matrices. You’ll see how context can help you build the change-of-basis matrix, and how to set up and solve problems even without a real-world story. By the end, you’ll finally understand how change of basis works and why it’s just a matter of the right multiplication.

Change of Basis Part 1:    • Change of Basis Finally Made Sense When I ...  

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Created by Doug Corey

Script: Doug Corey and Jennifer Canizales
Audio: Doug Corey
Animation: Jennifer Canizales
Music: Coma Media

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