Unit II: Least Squares, Determinants and Eigenvalues

Differential Equations and exp(At)

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Session Overview

Figure excerpted from 'Introduction to Linear Algebra' by G.S. Strang We can copy Taylor’s series for _e_x to define _e_At for a matrix A. If A is diagonalizable, we can use Λ to find the exact value of _e_At. This allows us to solve systems of differential equations du / dt = Au the same way we solved equations like dy / dt = ky.

Session Activities

Lecture Video and Summary

Suggested Reading

  • Read Section 6.3 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

Learning Resource Types

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assignment_turned_in Problem Sets with Solutions
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