Defactoring: Difference between revisions
Cmloegcmluin (talk | contribs) →inversion by hand: add color |
Cmloegcmluin (talk | contribs) →putting it all together: add color |
||
| Line 639: | Line 639: | ||
<math> \begin{array} {l} \begin{array} {l} \left[ \begin{array} {rrr} | <math> \begin{array} {l} \begin{array} {l} \left[ \begin{array} {rrr} | ||
1 & 8 \\ | \color{red}1 & \color{red}8 \\ | ||
5 & -4 \\ | \color{blue}5 & \color{blue}-4 \\ | ||
-4 & 1 \\ | -4 & 1 \\ | ||
\end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | \end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | ||
1 & -1 & 0 \\ | \color{red}1 & \color{red}-1 & \color{red}0 \\ | ||
0 & 1 & 0 \\ | \color{blue}0 & \color{blue}1 & \color{blue}0 \\ | ||
0 & 0 & 1 \\ | 0 & 0 & 1 \\ | ||
\hline | \hline | ||
| Line 655: | Line 655: | ||
<math> \begin{array} {l} \begin{array} {l} \left[ \begin{array} {rrr} | <math> \begin{array} {l} \begin{array} {l} \left[ \begin{array} {rrr} | ||
1 & 8 \\ | \color{blue}1 & \color{blue}8 \\ | ||
0 & -44 \\ | \color{red}0 & \color{red}-44 \\ | ||
-4 & 1 \\ | -4 & 1 \\ | ||
\end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | \end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | ||
1 & -1 & 0 \\ | \color{blue}1 & \color{blue}-1 & \color{blue}0 \\ | ||
-5 & 6 & 0 \\ | \color{red}-5 & \color{red}6 & \color{red}0 \\ | ||
0 & 0 & 1 \\ | 0 & 0 & 1 \\ | ||
\hline | \hline | ||
| Line 671: | Line 671: | ||
<math> \begin{array} {l} \begin{array} {l} \left[ \begin{array} {rrr} | <math> \begin{array} {l} \begin{array} {l} \left[ \begin{array} {rrr} | ||
1 & 8 \\ | \color{blue}1 & \color{blue}8 \\ | ||
0 & -44 \\ | 0 & -44 \\ | ||
0 & 33 \\ | \color{red}0 & \color{red}33 \\ | ||
\end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | \end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | ||
1 & -1 & 0 \\ | \color{blue}1 & \color{blue}-1 & \color{blue}0 \\ | ||
-5 & 6 & 0 \\ | -5 & 6 & 0 \\ | ||
4 & -4 & 1 \\ | \color{red}4 & \color{red}-4 & \color{red}1 \\ | ||
\hline | \hline | ||
1 & 0 & 0 \\ | 1 & 0 & 0 \\ | ||
| Line 688: | Line 688: | ||
<math> \begin{array} {l} \begin{array} {l} \left[ \begin{array} {rrr} | <math> \begin{array} {l} \begin{array} {l} \left[ \begin{array} {rrr} | ||
1 & 8 \\ | 1 & 8 \\ | ||
0 & -11 \\ | \color{red}0 & \color{red}-11 \\ | ||
0 & 33 \\ | \color{blue}0 & \color{blue}33 \\ | ||
\end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | \end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | ||
1 & -1 & 0 \\ | 1 & -1 & 0 \\ | ||
-1 & 2 & 1 \\ | \color{red}-1 & \color{red}2 & \color{red}1 \\ | ||
4 & -4 & 1 \\ | \color{blue}4 & \color{blue}-4 & \color{blue}1 \\ | ||
\hline | \hline | ||
1 & 0 & 0 \\ | 1 & 0 & 0 \\ | ||
| Line 704: | Line 704: | ||
<math> \begin{array} {l} \begin{array} {l} \left[ \begin{array} {rrr} | <math> \begin{array} {l} \begin{array} {l} \left[ \begin{array} {rrr} | ||
1 & 8 \\ | 1 & 8 \\ | ||
0 & -11 \\ | \color{blue}0 & \color{blue}-11 \\ | ||
0 & 0 \\ | \color{red}0 & \color{red}0 \\ | ||
\end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | \end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | ||
1 & -1 & 0 \\ | 1 & -1 & 0 \\ | ||
-1 & 2 & 1 \\ | \color{blue}-1 & \color{blue}2 & \color{blue}1 \\ | ||
1 & 2 & 4 \\ | \color{red}1 & \color{red}2 & \color{red}4 \\ | ||
\hline | \hline | ||
1 & 0 & 0 \\ | 1 & 0 & 0 \\ | ||
| Line 720: | Line 720: | ||
<math> \begin{array} {l} \begin{array} {l} \left[ \begin{array} {rrr} | <math> \begin{array} {l} \begin{array} {l} \left[ \begin{array} {rrr} | ||
1 & 8 \\ | 1 & 8 \\ | ||
0 & 11 \\ | \color{red}0 & \color{red}11 \\ | ||
0 & 0 \\ | 0 & 0 \\ | ||
\end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | \end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | ||
1 & -1 & 0 \\ | 1 & -1 & 0 \\ | ||
1 & -2 & -1 \\ | \color{red}1 & \color{red}-2 & \color{red}-1 \\ | ||
1 & 2 & 4 \\ | 1 & 2 & 4 \\ | ||
\hline | \hline | ||
| Line 741: | Line 741: | ||
0 & 0 \\ | 0 & 0 \\ | ||
\end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | \end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | ||
1 & 0 & 0 \\ | \color{blue}1 & \color{red}0 & 0 \\ | ||
1 & -1 & -1 \\ | \color{blue}1 & \color{red}-1 & -1 \\ | ||
1 & 3 & 4 \\ | \color{blue}1 & \color{red}3 & 4 \\ | ||
\hline | \hline | ||
1 & 1 & 0 \\ | \color{blue}1 & \color{red}1 & 0 \\ | ||
0 & 1 & 0 \\ | \color{blue}0 & \color{red}1 & 0 \\ | ||
0 & 0 & 1 \\ | \color{blue}0 & \color{red}0 & 1 \\ | ||
\end{array} \right] \end{array} </math> | \end{array} \right] \end{array} </math> | ||
| Line 757: | Line 757: | ||
0 & 0 \\ | 0 & 0 \\ | ||
\end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | \end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | ||
1 & 0 & 0 \\ | \color{red}1 & \color{blue}0 & 0 \\ | ||
0 & -1 & -1 \\ | \color{red}0 & \color{blue}-1 & -1 \\ | ||
4 & 3 & 4 \\ | \color{red}4 & \color{blue}3 & 4 \\ | ||
\hline | \hline | ||
2 & 1 & 0 \\ | \color{red}2 & \color{blue}1 & 0 \\ | ||
1 & 1 & 0 \\ | \color{red}1 & \color{blue}1 & 0 \\ | ||
0 & 0 & 1 \\ | \color{red}0 & \color{blue}0 & 1 \\ | ||
\end{array} \right] \end{array} </math> | \end{array} \right] \end{array} </math> | ||
| Line 773: | Line 773: | ||
0 & 0 \\ | 0 & 0 \\ | ||
\end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | \end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | ||
1 & 0 & 0 \\ | 1 & \color{blue}0 & \color{red}0 \\ | ||
0 & -1 & 0 \\ | 0 & \color{blue}-1 & \color{red}0 \\ | ||
4 & 3 & 1 \\ | 4 & \color{blue}3 & \color{red}1 \\ | ||
\hline | \hline | ||
2 & 1 & -1 \\ | 2 & \color{blue}1 & \color{red}-1 \\ | ||
1 & 1 & -1 \\ | 1 & \color{blue}1 & \color{red}-1 \\ | ||
0 & 0 & 1 \\ | 0 & \color{blue}0 & \color{red}1 \\ | ||
\end{array} \right] \end{array} </math> | \end{array} \right] \end{array} </math> | ||
| Line 789: | Line 789: | ||
0 & 0 \\ | 0 & 0 \\ | ||
\end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | \end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | ||
1 & 0 & 0 \\ | \color{red}1 & 0 & \color{blue}0 \\ | ||
0 & -1 & 0 \\ | \color{red}0 & -1 & \color{blue}0 \\ | ||
0 & 3 & 1 \\ | \color{red}0 & 3 & \color{blue}1 \\ | ||
\hline | \hline | ||
6 & 1 & -1 \\ | \color{red}6 & 1 & \color{blue}-1 \\ | ||
5 & 1 & -1 \\ | \color{red}5 & 1 & \color{blue}-1 \\ | ||
-4 & 0 & 1 \\ | \color{red}-4 & 0 & \color{blue}1 \\ | ||
\end{array} \right] \end{array} </math> | \end{array} \right] \end{array} </math> | ||
| Line 805: | Line 805: | ||
0 & 0 \\ | 0 & 0 \\ | ||
\end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | \end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | ||
1 & 0 & 0 \\ | 1 & \color{red}0 & \color{blue}0 \\ | ||
0 & -1 & 0 \\ | 0 & \color{red}-1 & \color{blue}0 \\ | ||
0 & 0 & 1 \\ | 0 & \color{red}0 & \color{blue}1 \\ | ||
\hline | \hline | ||
6 & 4 & -1 \\ | 6 & \color{red}4 & \color{blue}-1 \\ | ||
5 & 4 & -1 \\ | 5 & \color{red}4 & \color{blue}-1 \\ | ||
-4 & -3 & 1 \\ | -4 & \color{red}-3 & \color{blue}1 \\ | ||
\end{array} \right] \end{array} </math> | \end{array} \right] \end{array} </math> | ||
| Line 821: | Line 821: | ||
0 & 0 \\ | 0 & 0 \\ | ||
\end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | \end{array} \right. \\ \begin{array} {l} \\ \\ \\ \end{array} \end{array} & \rule[2.5mm]{0.375mm}{18mm} & \left. \begin{array} {r} | ||
1 & 0 & 0 \\ | 1 & \color{red}0 & 0 \\ | ||
0 & 1 & 0 \\ | 0 & \color{red}1 & 0 \\ | ||
0 & 0 & 1 \\ | 0 & \color{red}0 & 1 \\ | ||
\hline | \hline | ||
6 & -4 & -1 \\ | 6 & \color{red}-4 & -1 \\ | ||
5 & -4 & -1 \\ | 5 & \color{red}-4 & -1 \\ | ||
-4 & 3 & 1 \\ | -4 & \color{red}3 & 1 \\ | ||
\end{array} \right] \end{array} </math> | \end{array} \right] \end{array} </math> | ||