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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 textbook.

Problem Solving Video

  • Watch the recitation video on Projection onto Subspaces (00:09:50)
  • Recitation video transcript (PDF)

Check Yourself

Problems and Solutions

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

 

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