Change of basis

Finding a coordinate system boring. Even worse, does it make certain transformations difficult (especially transformations that you have to do over and over and over again)? Well, we have the tool for you: change your coordinate system to one that you like more. Sound strange? Watch this tutorial and it will be less so. Have fun!

Coordinates with respect to a basis

Change of basis matrix

Invertible change of basis matrix

Transformation matrix with respect to a basis

Alternate basis transformation matrix example

Alternate basis transformation matrix example part 2

Changing coordinate systems to help find a transformation matrix