Diagonalizing a matrix and Powers of A

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Taught by OCW
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Lesson Description:

Diagonalizing a matrix and Powers of A -- Lecture 22. Learn how to diagonalize a matrix and find Eigenvalues for powers of a matrix A.

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

Additional Resources:
Questions answered by this video:
  • How do you diagonalize a matrix?
  • How do you find powers of a matrix A?
  • What are the Eigenvalues of A squared?
  • What are the Eigenvalues of A^2?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lecture begins to explain why Eigenvalues are useful. You will learn how to diagonalize a matrix using Eigenvalues and Eigenvectors, and how to use them by taking a matrix A to a power. An interesting and powerful video.