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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.
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CCSS:
Adaptable
Concepts
Additional Tags
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