Transformations and Matrix Transformations

Learning Objectives:
1) Conceive of Ax=b dynamically, transforming n-vectors to m-vectors
2) Use the notation of a Transformation, analogous to that of a Function
3) Identify the domain and codomain of a function
4) Recognize Matrix Transformations as examples of Transformations.

This video is part of a Linear Algebra course taught at the University of Cincinnati.

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[MinecraftStonewideos]

Hi Dr. Bazett! A suggestion:

Consider adding custom thumbnails to all of these videos (i.e. similar to 3Blue1Brown's or Khan Academy's). These videos are amazing, but they are not getting the attention they deserve. I believe adding thumbnails that describe the video in a simple manner will bring in a lot more views.

Thank you again for making these.

[anointedmoments]

Thank you man. I passed thanks to your videos

[CFJon]

U r way better than my university prof, lololololololololololol

[confused]

So, correct me if I'm wrong: It is the matrix A who transform variable vector X to new vector b.

[confused]

@1;15, it is the definition of a one-to-one function.

[mhayek]

You're perfect man! Thanks a lot!

[khamidullokh]

I'm having an exam on Linea algebra and geometry 1 today at 12:00 a.m so wish a luck

[utkarshgupta]

Do you mean that linear transformations are necessarily one-one?