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The Rotation Problem and Hamilton's Discovery of Quaternions - Famous Math Problems

Insights into Mathematics via YouTube

Overview

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This lecture develops the algebra of quaternions using 2×2 matrices with complex entries, covering their arithmetic laws, conjugation, inverses, inner products, and geometric representation. It concludes by connecting quaternions to rotations in three-dimensional space.

Syllabus

Introduction
Introduction to quaternions
Laws of quaternions
Twobytwo matrices
Conjugation
Inverse Formula
Inner Product
Geometrical Representation
Understanding Rotations

Taught by

Insights into Mathematics

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