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Projections onto Subspaces

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Session Overview

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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 _A_x = 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 Features

assignment_turned_in Assignments - problem sets with solutions
assignment_turned_in Assignments - problem sets with solutions
grading Exams - Solutions
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list Resource Index
record_voice_over Instructor Insights