18.06SC | Fall 2011 | Undergraduate

Linear Algebra

Unit II: Least Squares, Determinants and Eigenvalues

Markov Matrices; Fourier Series

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Session Overview

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

Like differential equations, Markov matrices describe changes over time. Once again, the eigenvalues and eigenvectors describe the long term behavior of the system. In this session we also learn about Fourier series, which describe periodic functions as points in an infinite dimensional vector space.

Session Activities

Lecture Video and Summary

Suggested Reading

  • Read Section 8.3 and 8.5 in the 4th edition or Sections 10.3 and 10.5 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

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