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 15: Projections onto Subspaces
Problem Solving: Projection onto Subspaces
Work the problems on your own and check your answers when you're done.