Question

Eigenvectors and matrix decomposition of a Quaternion

score 1.8k · Answer 1 · 2016-09-07 10:54:26

1.8k

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Eigenvectors and matrix decomposition of a Quaternion

Published on 07 Sep 2016 - 10:54

score 2.6k · Answer 2 · 2016-09-07 14:53:06

2.6k

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proof that quaternion group is a group

Published on 07 Sep 2016 - 14:53

score 376 · Answer 3 · 2026-03-28 06:40:23

376

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Are $i^2 = j^2 = k^2 = ijk = -1$ axioms?

Published on 28 Mar 2026 - 6:40

score 601 · Answer 4 · 2016-09-07 20:34:50

601

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Quaternion Mathematics - Addition with a Scalar?

Published on 07 Sep 2016 - 20:34

score 308 · Answer 5 · 2016-09-20 17:11:59

308

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Stuff which squares to $-1$ in the quaternions, thinking geometrically.

Published on 20 Sep 2016 - 17:11

score 27 · Answer 6 · 2016-09-22 00:02:59

27

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exponent with a Quaternion relating to eulers equation

Published on 22 Sep 2016 - 0:02

score 1.9k · Answer 7 · 2016-09-22 13:37:20

1.9k

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Deriving a Quaternion Extension of Euler's Formula

Published on 22 Sep 2016 - 13:37

score 967 · Answer 8 · 2016-09-23 00:41:19

967

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The quaternion matrix for a rotation of $\theta + 2 \pi$

Published on 23 Sep 2016 - 0:41

score 264 · Answer 9 · 2016-09-27 07:10:39

264

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Showing $ui, uj, uk$ is a basis for $u^\perp$, where $u$ is a unit quaternion.

Published on 27 Sep 2016 - 7:10

score 67 · Answer 10 · 2016-09-27 11:37:42

67

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Let $Q \in SO_4(\mathbb R)$. Show there exists $u,v \in \mathbb H$ with $|u| = |v| = 1$ such that $Qx = uxv$ for all $x \in \mathbb H$

Published on 27 Sep 2016 - 11:37

score 1.5k · Answer 11 · 2026-03-26 02:44:40

1.5k

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Formula For N-Dimensional Quaternions

Published on 26 Mar 2026 - 2:44

score 145 · Answer 12 · 2016-09-27 22:07:27

145

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Are Quaternions Just Shorthand For Normalized Vectors?

Published on 27 Sep 2016 - 22:07

score 98 · Answer 13 · 2016-09-29 21:53:09

98

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Quaternions in Tangible Form being Used

Published on 29 Sep 2016 - 21:53

score 114 · Answer 14 · 2016-10-06 13:03:12

114

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Vector space of quaternions with vanishing real part, description of map in geometric terms.

Published on 06 Oct 2016 - 13:03

score 458 · Answer 15 · 2016-10-08 08:20:38

458

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Differentiation of quaternions

Published on 08 Oct 2016 - 8:20

List Question

Eigenvectors and matrix decomposition of a Quaternion

proof that quaternion group is a group

Are $i^2 = j^2 = k^2 = ijk = -1$ axioms?

Quaternion Mathematics - Addition with a Scalar?

Stuff which squares to $-1$ in the quaternions, thinking geometrically.

exponent with a Quaternion relating to eulers equation

Deriving a Quaternion Extension of Euler's Formula

The quaternion matrix for a rotation of $\theta + 2 \pi$

Showing $ui, uj, uk$ is a basis for $u^\perp$, where $u$ is a unit quaternion.

Let $Q \in SO_4(\mathbb R)$. Show there exists $u,v \in \mathbb H$ with $|u| = |v| = 1$ such that $Qx = uxv$ for all $x \in \mathbb H$

Formula For N-Dimensional Quaternions

Are Quaternions Just Shorthand For Normalized Vectors?

Quaternions in Tangible Form being Used

Vector space of quaternions with vanishing real part, description of map in geometric terms.

Differentiation of quaternions

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