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Deriving the Change-of-Basis formula

Dr. Trefor Bazett 2,284 lượt xem 7 years ago
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Description: If I have a vector expressed in one basis, we can compute what that vector is expressed in a different basis via the formula derived in this video.

Learning Objectives:
1) Write a vector (given in the standard basis) as a matrix times the vector written in a new basis.
2) Write a vector (given in this new basis) as the inverted matrix times the vector written in the standard basis
3) Given a vector in one basis, write the vector in some other basis.


This video is part of a Linear Algebra course taught at the University of Cincinnati.

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