Matrix Exponentials; Application to Solving Systems
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Lesson Description:
Matrix Exponentials; Application to Solving Systems -- Lecture 29. Solving systems of ODEs again; this time with some applications.
Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 29, 2008). License: Creative Commons BY-NC-SA.
More info at: http://ocw.mit.edu/terms
Additional Resources:
- Lecture Notes - Lecture Notes
- Linear Systems Notes 2 - Linear Systems Notes 2
Questions answered by this video:
- What is a fundamental matrix?
- What are matrix exponentials?
- What is e^At?
- How do you compute A^2?
- How do you compute e^At?
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Staff Review
In this video, applications to systems of differential equations are discussed. Matrix exponentials (powers of matrices such as e^At and A^2 are included) and fundamental matrices are used to solve the systems.
