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Change of Basis and Taylor Coefficient Vectors - Wild Linear Algebra A - NJ Wildberger

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This lecture develops coordinate vectors and change-of-basis matrices using a vector-valued matrix framework. It applies these ideas to Taylor coefficient vectors for polynomials and generalized Pascal matrices.

Syllabus

Introduction
Two kinds of linear relations
Augmented matrix algebra
Bob and Rachel
Change of basis
Change of basis matrix
Exercise
Calculus
Relation between vectors
Generalized Pascal matrix
Taylor coefficient translation theorem

Taught by

Insights into Mathematics

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