Session Overview
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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
- Watch the video lecture Lecture 22: Diagonalization and Powers of A
- Read the accompanying lecture summary (PDF)
- Lecture video transcript (PDF)
Suggested Reading
- Read Section 6.2 in the 4th or 5th edition.
Problem Solving Video
- Watch the recitation video on Problem Solving: Powers of a Matrix
- Recitation video transcript (PDF)
Check Yourself
Problems and Solutions
Work the problems on your own and check your answers when you’re done.
