18.06SC | Fall 2011 | Undergraduate

Linear Algebra

Unit III: Positive Definite Matrices and Applications

Complex Matrices; Fast Fourier Transform (FFT)

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Session Overview

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

The Fourier matrices have complex valued entries and many nice properties. This session covers the basics of working with complex matrices and vectors, and concludes with a description of the fast Fourier transform.

Session Activities

Lecture Video and Summary

Suggested Reading

  • Read Section 10.2 through 10.3 in the 4th edition or Section 9.2 and 9.3 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

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