Session Overview
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We can copy Taylor’s series for ex to define eAt for a matrix A. If A is diagonalizable, we can use Λ to find the exact value of eAt. This allows us to solve systems of differential equations _d_u / dt = _A_u the same way we solved equations like dy / dt = ky.
Session Activities
Lecture Video and Summary
- Watch the video lecture
- Read the accompanying lecture summary (PDF)
- Lecture video transcript (PDF)
Suggested Reading
- Read Section 6.3 in the 4th or 5th edition.
Problem Solving Video
- Watch the recitation video on
- Recitation video transcript (PDF)
- 观看视频: 习题讲解 – [watch this recitation in Mandarin]
Check Yourself
Problems and Solutions
Work the problems on your own and check your answers when you’re done.