Introduction to the Matrix Exponential

In this video we introduce the concept of the matrix exponential. This is similar to the standard exponential function except it operates on matrices. We define the matrix exponential and look at several properties of the matrix exponential that will be very useful in solving systems of linear ordinary differential equations.

Topics and timestamps:
0:00 – Introduction
0:49 – Definition of the matrix exponential
11:29 – General properties
12:56 – Derivative property
18:32 – Similarity transformation and the matrix exponential

All Ordinary Differential Equation videos in a single playlist (   • Ordinary Differential Equations  )

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