18.06SC | Fall 2011 | Undergraduate

Linear Algebra

Unit II: Least Squares, Determinants and Eigenvalues

Projections onto Subspaces

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Session Overview

Figure excerpted from 'Introduction to Linear Algebra' by G.S. Strang 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

Departments
As Taught In
Fall 2011
Learning Resource Types
Lecture Videos
Exams with Solutions
Lecture Notes
Recitation Videos
Problem Sets with Solutions
Simulations
Course Introduction
Instructor Insights