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:
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This lecture covers section 2.4 - Affine Geometry from the book. This is part 4 of 6 videos from this section.

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