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.

Using an invertible change of basis matrix to go between different coordinate systems

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

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.