Matrix Exponentials; Application to Solving Systems

Sick of ads?‚Äč Sign up for MathVids Premium
Taught by OCW
  • Currently 4.0/5 Stars.
3548 views | 1 rating
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), (Accessed November 29, 2008). License: Creative Commons BY-NC-SA.
More info at:

Additional Resources:
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?
  • Staff Review

    • Currently 4.0/5 Stars.
    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.