We often want to find the line (or plane, or hyperplane) that best fits our data. This amounts to finding the best possible approximation to some unsolvable system of linear equations Ax = b. The algebra of finding these best fit solutions begins with the projection of a vector onto a subspace
Lecture Video and Summary
- Watch the video lecture
Projections onto Subspaces (00:48:51)
Lecture 15: Projections onto Subspaces
- Read the accompanying lecture summary (PDF)
- Lecture video transcript (PDF)
- Read Section 4.2 in the 4th or 5th edition.
Problem Solving Video
- Watch the recitation video on
Projection onto Subspaces (00:09:50)
Problem Solving: Projection onto Subspaces
- Recitation video transcript (PDF)
Problems and Solutions
Work the problems on your own and check your answers when you're done.