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.

Concepts

eigenvectors, vectors, linear algebra, matrices, inverse matrices, matrix operations

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Additional Tags

math

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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

• This video is hosted on YouTube

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

HSN-VM.C.11 MP2