Unit II: Least Squares, Determinants and Eigenvalues

Projections onto Subspaces

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Session Overview

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

Session Activities

Lecture Video and Summary

Suggested Reading

  • Read Section 4.2 in the 4th or 5th edition.

Problem Solving Video

Check Yourself

Problems and Solutions

Work the problems on your own and check your answers when you’re done.

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Course Info

Learning Resource Types

theaters Lecture Videos
grading Exams with Solutions
notes Lecture Notes
theaters Recitation Videos
assignment_turned_in Problem Sets with Solutions
laptop_windows Simulations
groups Course Introduction
co_present Instructor Insights