# Linear Algebra: Change of Basis Matrix

A series of free, online Linear Algebra Video Lessons.
Videos, worksheets, and activities to help Linear Algebra students.

In this lesson, we will learn how to use a change of basis matrix to get us from one coordinate system to another.

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More lessons for Linear Algebra

Linear Algebra: Change of Basis Matrix
Using a change of basis matrix to get us from one coordinate system to another.
Linear Algebra: Invertible Change of Basis Matrix
Using an invertible change of basis matrix to go between different coordinate systems

Lin Alg: Transformation Matrix with Respect to a Basis
Finding the transformation matrix with respect to a non-standard basis

Lin Alg: Alternate Basis Transformation Matrix Example
Example of finding the transformation matrix for an alternate basis

Lin Alg: Alternate Basis Transformation Matrix Example Part 2
Showing that the transformation matrix with respect to basis B actually works. Brief point on why someone would want to operate in a different basis to begin with.