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# Benutzerin:Gabriele Hornsteiner/Baustein meinige

${\displaystyle {\underline {P}}'={\begin{matrix}{\begin{array}{r}&\\&\\\color {Green}\mathrm {x} \\\color {Green}\mathrm {y} \\\color {Green}\mathrm {z} \end{array}}{\begin{matrix}{\begin{matrix}&\color {Green}\mathrm {a} &\color {Green}\mathrm {b} &\color {Green}\mathrm {c} \\&\color {Green}\mathrm {m} &\color {Green}\mathrm {kwh} &\color {Green}\mathrm {\text{Stück}} \end{matrix}}\\{\begin{bmatrix}1&2&0\\2&0&1\\2&1&1\end{bmatrix}}\end{matrix}}\end{matrix}}}$
${\displaystyle {\underline {P}}={\begin{matrix}{\begin{matrix}&\\\color {Green}\mathrm {a} \\\color {Green}\mathrm {b} \\\color {Green}\mathrm {c} \end{matrix}}{\begin{matrix}{\begin{matrix}&\color {Green}\mathrm {x} &\color {Green}\mathrm {y} &\color {Green}\mathrm {z} \end{matrix}}\\{\begin{bmatrix}1&2&0\\2&0&1\\2&1&1\end{bmatrix}}\end{matrix}}\end{matrix}}}$

## Oben x, y z, rechts abc, rechts m, kwh, stück

${\displaystyle {\underline {P}}={\begin{matrix}{\begin{matrix}\color {Green}\mathrm {x} &\color {Green}\mathrm {y} &\color {Green}\mathrm {z} \end{matrix}}\\{\begin{bmatrix}1&2&0\\2&0&1\\2&1&1\end{bmatrix}}\end{matrix}}{\begin{matrix}&&\\\color {Green}\mathrm {a} &\color {Green}\mathrm {m} \\\color {Green}\mathrm {b} &\color {Green}\mathrm {kwh} \\\color {Green}\mathrm {c} &\color {Green}\mathrm {Stueck} \end{matrix}}}$

## oben u1,u2, rechts x,y,z

${\displaystyle {\underline {Q}}={\begin{matrix}{\begin{matrix}\color {Green}\mathrm {U1} &\color {Green}\mathrm {U2} &\end{matrix}}\\{\begin{bmatrix}10&20\\20&10\\30&10\end{bmatrix}}{\begin{matrix}\color {Green}\mathrm {x} \\\color {Green}\mathrm {y} \\\color {Green}\mathrm {z} \end{matrix}}\end{matrix}}}$

${\displaystyle {\underline {R}}={\begin{bmatrix}r_{11}&r_{12}\\r_{21}&r_{22}\\r_{31}&r_{32}\\\end{bmatrix}}={\begin{matrix}{\begin{matrix}&\\\color {Green}\mathrm {a} \\\color {Green}\mathrm {b} \\\color {Green}\mathrm {c} \end{matrix}}{\begin{matrix}{\begin{matrix}&\color {Green}\mathrm {x} &\color {Green}\mathrm {y} &\color {Green}\mathrm {z} \end{matrix}}\\{\begin{bmatrix}1&2&0\\2&0&1\\2&1&1\end{bmatrix}}\end{matrix}}\end{matrix}}\cdot {\begin{matrix}{\begin{matrix}\color {Green}\mathrm {U1} &\color {Green}\mathrm {U2} &\end{matrix}}\\{\begin{bmatrix}10&20\\20&10\\30&10\end{bmatrix}}{\begin{matrix}\color {Green}\mathrm {x} \\\color {Green}\mathrm {y} \\\color {Green}\mathrm {z} \end{matrix}}\end{matrix}}}$

Lineare Gleichungssysteme

 a b c ab ba c

in der Mitte Leerzeile, Leerspalte

${\displaystyle A={\begin{pmatrix}1&0&0&\;&1&0&0\\0&1&0&\;&3&1&3\\0&0&1&\;&-1&1&0\\&&&\;&&&\\0&0&0&\;&0&0&0\end{pmatrix}}}$