Differential Equations du/dt = Au and Exponential e^At of a matrix

Differential Equations du/dt = Au and Exponential e^At of a matrix
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Taught by OCW
Gilbert Strang, 18.06 Linear Algebra, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 23, 2008). License: Creative Commons BY-NC-SA.
More info at: http://ocw.mit.edu/terms
Differential Equations du/dt = Au and Exponential e^At of a matrix -- Lecture 23. Learn how to solve first order differential equations with matrices and how to work with an exponential with matrices.
  • How do you solve a system of first order differential equations with matrices?
  • How do you compute the exponential of a matrix?
  • How do you compute e^At?
A very interesting video that brings Linear Algebra and matrices together with first order differential equations. This video explains how to solve these first order linear equations by using the exponential function. A good explanation of some complex ideas.
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Reviewed by MathVids Staff on November 23, 2008.
 
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