Unit III: Positive Definite Matrices and Applications

Change of Basis; Image Compression

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Session Overview

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

Video cameras record data in a poor format for broadcasting video. To transmit video efficiently, linear algebra is used to change the basis. But which basis is best for video compression is an important question that has not been fully answered!

Session Activities

Lecture Video and Summary

Suggested Reading

  • Read Section 7.2 in the 4th edition or Section 8.2 in the 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