Eigenvectors and Eigenvalues | Essence of Linear Algebra, Chapter 10

Find vectors that stay on their spans after a linear transformation. The 14th video in the series of 15 introduces the concept of eigenvectors, vectors that are only scaled during a linear transformation. The presentation illustrates the geometric interpretation of these special vectors and provides a general explanation on how to determine them.

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CCSS: Adaptable
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Instructional Ideas
  • Review changes of basis with class members
  • If using with the whole class, pause the video when asked and lead a verbal discussion on what was presented
Classroom Considerations
  • The class should be familiar with linear transformations, determinants, and linear systems
  • Individuals should understand how to solve quadratics over the complex numbers
Pros
  • Contains suggestions for videos to watch to explain assumed learning
  • Includes a problem to work that highlights one of the concepts
Cons
  • None
Common Core