Lecture 23: Differential equations and exp(At)

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In this lecture we apply linear algebra to solve differential equations. We also talk about matrix exponential eAt. We can copy Taylor's series for eAt to define eAt for a matrix A. If A is diagonalizable, we can use Λ to find the exact value of eAt.

These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.

Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776.

Instructor/speaker: Prof. Gilbert Strang

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