Difference between revisions of "Template:Rotation matrix"
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(Created page with "colomn numbers: <math>\begin{matrix} \ _{i-1}\quad _i\quad _{i+1} & \ & _{j-1}\ \ _j\quad _{j+1}\end{matrix}</math> <math>T_{ij} = \begin{bmatrix} 1 & \cdots & 0\quad 0\qu...") |
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| − | colomn numbers: <math>\begin{matrix} \ _{i-1}\quad _i\quad _{i+1} & \ & _{j-1}\ \ _j\quad _{j+1}\end{matrix}</math> | + | colomn numbers: <math>\begin{matrix} \ _{i-1}\quad _i\quad _{i+1} & \ & _{j-1}\ \ _j\quad _{j+1}\end{matrix}</math> |
<math>T_{ij} = \begin{bmatrix} | <math>T_{ij} = \begin{bmatrix} | ||
Latest revision as of 13:33, 2 March 2018
colomn numbers: [math]\begin{matrix} \ _{i-1}\quad _i\quad _{i+1} & \ & _{j-1}\ \ _j\quad _{j+1}\end{matrix}[/math]
[math]T_{ij} = \begin{bmatrix} 1 & \cdots & 0\quad 0\quad 0 & \cdots & 0\quad 0\quad 0 & \cdots & 0 \\ \vdots & \ddots & \vdots & \vdots & \vdots & \vdots \\ 0 & \cdots & 1\quad 0\quad 0 & \cdots & 0\quad 0\quad 0 & \cdots & 0 \\ 0 & \cdots & 0\quad c\quad 0 & \cdots & 0\ -s\ 0 & \cdots & 0 \\ 0 & \cdots & 0\quad 0\quad 1 & \cdots & 0\quad 0\quad 0 & \cdots & 0 \\ \vdots & \vdots & \vdots & \ddots & \vdots & \vdots & \vdots \\ 0 & \cdots & 0\quad 0\quad 0 & \cdots & 1\quad 0\quad 0 & \cdots & 0 \\ 0 & \cdots & 0\quad s\quad 0 & \cdots & 0\quad c\quad 0 & \cdots & 0 \\ 0 & \cdots & 0\quad 0\quad 0 & \cdots & 0\quad 0\quad 1 & \cdots & 0 \\ \vdots & \vdots & \vdots & \vdots & \vdots & \ddots & \vdots \\ 0 & \cdots & 0\quad 0\quad 0 & \cdots & 0\quad 0\quad 0 & \cdots & 1 \\ \end{bmatrix} [/math]
