18.06SC | Fall 2011 | Undergraduate

Linear Algebra

Unit II: Least Squares, Determinants and Eigenvalues

Diagonalization and Powers of A

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Session Overview

Figure excerpted from 'Introduction to Linear Algebra' by G.S. Strang If A has n independent eigenvectors, we can write A = SΛS−1, where Λ is a diagonal matrix containing the eigenvalues of A. This allows us to easily compute powers of A which in turn allows us to solve difference equations uk+1 = Auk

Session Activities

Lecture Video and Summary

Suggested Reading

  • Read Section 6.2 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 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