Take the principles of vectors and apply them to other things that act like vectors. The last video in the series of 15 introduces the more abstract aspects of linear algebra, making the connection back to the vector concepts discussed in the series. The video shows how functions can be thought of as a vector space and provides the axioms that all vector spaces must adhere. 

Concepts

linear algebra, vectors, addition, multiplication, functions, transformations

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Additional Tags

math

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Instructional Ideas

• Have the class brainstorm other vector spaces

Classroom Considerations

• The class should be familiar with differentiation
• Assumes an understanding of the major concepts of the previous videos

• This video is hosted on YouTube

Pros

• Includes a visualization summary of the major concepts learned through the series
• Contains closed captioning in several languages

Cons

• None