It is all about perspective. A video introduces the idea that the view of a vector all depends upon the perspective of the basis vectors. Knowing how to go from one coordinate system's basis vectors to another system's basis vectors allows mathematicians to translate all vectors. The 13th segment in a 15-part series steps through the linear transformations that calculate those transformations.

Concepts

linear algebra, transformations, matrix operations, inverse matrices, matrices, translating, coordinate pair

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Additional Tags

math

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Instructional Ideas

• Review calculating a linear transformation
• Provide opportunities for pupils to translate between coordinate systems

Classroom Considerations

• The class should know about inverse matrices

• This video is hosted on YouTube

Pros

• Uses colors within the presentation to help keep track of the change of basis
• Includes suggestions of other videos to watch as prerequisites

Cons

• None

Common Core

HSN-VM.C.11 MP2