# Change of basis

7 videos

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!

### Change of basis matrix

VIDEO
17:55 minutes

Using a change of basis matrix to get us from one coordinate system to another.

### Invertible change of basis matrix

VIDEO
13:34 minutes

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

### Transformation matrix with respect to a basis

VIDEO
18:02 minutes

Finding the transformation matrix with respect to a non-standard basis

### Alternate basis transformation matrix example

VIDEO
13:20 minutes

Example of finding the transformation matrix for an alternate basis

### Alternate basis transformation matrix example part 2

VIDEO
12:36 minutes

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.

### Changing coordinate systems to help find a transformation matrix

VIDEO
28:59 minutes

Changing our coordinate system to find the transformation matrix with respect to standard coordinates