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Dot Products, Pythagoras' Theorem, and Generalizations - Wild Linear Algebra A - NJ Wildberger

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This course develops metrical geometry algebraically from the dot product of vectors. It covers symmetry, perpendicularity, quadrance, an algebraic proof of Pythagoras' theorem, transpose, and symmetric bilinear forms.

Syllabus

Introduction
The fundamental dot product of vectors
Symmetric property of the dot product
Pythagoras Theorem via Linear Algebra
Transpose

Taught by

Insights into Mathematics

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