Affine Combinations

In this video, we introduce the notion of affine combinations and affine spans of vectors. We use this to find vector equations, and their associated parametric equations, of m-flats.
Linear Algebra Done Openly is an open source linear algebra textbook developed by Dr. Andrew Misseldine. It is supported and improved by student contributions done by Math 2700 students at Southern Utah University, since Fall 2018. The textbook can be found at:
drive.google.c...
This lecture covers section 2.4 - Affine Geometry from the book. This is part 4 of 6 videos from this section.

[@darrenpeck156]

So the flat can be viewed equally well from any choice of single vector x, and viewed from there via its very own spanning set without loss of structure. Thank you, the lecture is fantastic!

[@Misseldine]

Yes, correct

[@NANDUVENU-wt2lp]

Great explanation!

[@Misseldine]

Thanks for the feedback.