Affine subspaces and transformations - 03 - affine transformations

Affine transformations generalize both linear transformations and equations of the form y=mx+b. They are ubiquitous in support vector machines and neural networks from machine learning. In this video, we finally define affine transformations. They are functions that take affine combinations to affine combinations. All affine transformations between Euclidean spaces are of the form y=Mx+b.

These videos were created during the 2019 Spring/Summer semester at the UConn CETL Lightboard Room.

[madhavshekharsharma]

This was so very illuminating!! Thanks so much Arthur, really helped me understand this hurriedly taught topic in my advanced lin alg class...

[xzl]

OMG! Really good quality of tutorials for linear algebra. Hope more people watching these vedioes. 👍👍👍👍👍

[sandyjr]

Thanks Sir for these lectures. These are very concise and are indeed helpful.

[stekim]

Thanks for the explanation! The on-screen writing is great!