File:Alternating Sign Matrices of Size 3.svg

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<math>\begin{array}{c}
\begin{bmatrix}
  1 & 0 & 0\\
  0 & 1 & 0\\
  0 & 0 & 1
 \end{bmatrix}
 \qquad
 \begin{bmatrix}
  1 & 0 & 0\\
  0 & 0 & 1\\
  0 & 1 & 0
 \end{bmatrix} \\
 \begin{bmatrix}
  0 & 1 & 0\\
  1 & 0 & 0\\
  0 & 0 & 1
 \end{bmatrix}
 \qquad
 \begin{bmatrix}
  0 &  1 & 0\\
  1 & -1 & 1\\
  0 &  1 & 0
 \end{bmatrix}
 \qquad
 \begin{bmatrix}
  0 & 1 & 0\\
  0 & 0 & 1\\
  1 & 0 & 0
 \end{bmatrix} \\
 \begin{bmatrix}
  0 & 0 & 1\\
  1 & 0 & 0\\
  0 & 1 & 0
 \end{bmatrix}
 \qquad
 \begin{bmatrix}
  0 & 0 & 1\\
  0 & 1 & 0\\
  1 & 0 & 0
 \end{bmatrix}
 \end{array}</math>

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Summary edit

Description
English: The seven alternating sign matrices of size 3.
Date
Source

Created in LaTeX by the following code:

\documentclass{article}
\thispagestyle{empty}
\usepackage{amsmath}
\begin{document}
\[
 \begin{bmatrix}
  1 & 0 & 0\\
  0 & 1 & 0\\
  0 & 0 & 1
 \end{bmatrix}
 \qquad
 \begin{bmatrix}
  1 & 0 & 0\\
  0 & 0 & 1\\
  0 & 1 & 0
 \end{bmatrix}
\]
\[
 \begin{bmatrix}
  0 & 1 & 0\\
  1 & 0 & 0\\
  0 & 0 & 1
 \end{bmatrix}
 \qquad
 \begin{bmatrix}
  0 &  1 & 0\\
  1 & -1 & 1\\
  0 &  1 & 0
 \end{bmatrix}
 \qquad
 \begin{bmatrix}
  0 & 1 & 0\\
  0 & 0 & 1\\
  1 & 0 & 0
 \end{bmatrix}
\]
\[
 \begin{bmatrix}
  0 & 0 & 1\\
  1 & 0 & 0\\
  0 & 1 & 0
 \end{bmatrix}
 \qquad
 \begin{bmatrix}
  0 & 0 & 1\\
  0 & 1 & 0\\
  1 & 0 & 0
 \end{bmatrix}
\]
\end{document}
Author Own work

Licensing edit

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
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I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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Date/TimeThumbnailDimensionsUserComment
current01:01, 1 November 2012Thumbnail for version as of 01:01, 1 November 2012238 × 154 (13 KB)Bender2k14 (talk | contribs){{Information |Description ={{en|1=The seven alternating sign matrices of size 3.}} |Source =Created in LaTeX by the following code: <source lang="latex"> \documentclass{article} \thispagestyle{empty} \usepackage{amsmath} \begin{document} \[...

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