Defactoring algorithms: Difference between revisions
ArrowHead294 (talk | contribs) m Formatting |
ArrowHead294 (talk | contribs) m →Hermite decomposition by hand: Arrays with {c} are much better at representing augmented matrices |
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| Line 312: | Line 312: | ||
<math> | <math> | ||
\left[ \begin{array} { | \left[ \begin{array} {ccc|cc} | ||
12 & 19 & 28 \\ | 12 & 19 & 28 & 1 & 0 \\ | ||
26 & 43 & 60 | 26 & 43 & 60 & 0 & 1 \\ | ||
\end{array} \right] | |||
1 | |||
</math> | </math> | ||
| Line 332: | Line 329: | ||
<math> | <math> | ||
\left[ \begin{array} { | \left[ \begin{array} {ccc|cc} | ||
12 & 19 & 28 \\ | 12 & 19 & 28 & 1 & 0\\ | ||
2 & 5 & 4 | 2 & 5 & 4 & -2 & 1\\ | ||
\end{array} \right] | |||
-2 & 1 \\ | |||
</math> | </math> | ||
| Line 344: | Line 338: | ||
<math> | <math> | ||
\left[ \begin{array} { | \left[ \begin{array} {ccc|cc} | ||
0 & -11 & 4 | 0 & -11 & 4 & 13 & -6 | ||
2 & 5 & 4 | 2 & 5 & 4 & -2 & 1 \\ | ||
\end{array} \right] | |||
-2 & 1 \\ | |||
</math> | </math> | ||
| Line 356: | Line 347: | ||
<math> | <math> | ||
\left[ \begin{array} { | \left[ \begin{array} {ccc|cc} | ||
2 & 5 & 4 \\ | 2 & 5 & 4 & -2 & 1 \\ | ||
0 & -11 & 4 | 0 & -11 & 4 & 13 & -6 \\ | ||
\end{array} \right] | |||
13 & -6 \\ | |||
</math> | </math> | ||
| Line 372: | Line 360: | ||
<math> | <math> | ||
\left[ \begin{array} { | \left[ \begin{array} {ccc|cc} | ||
2 & 5 & 4 \\ | 2 & 5 & 4 & -2 & 1 \\ | ||
0 & 11 & -4 | 0 & 11 & -4 & -13 & 6 \\ | ||
\end{array} \right] | |||
-13 & 6 \\ | |||
</math> | </math> | ||
| Line 409: | Line 394: | ||
12 & 19 & 28 \\ | 12 & 19 & 28 \\ | ||
26 & 43 & 60 \\ | 26 & 43 & 60 \\ | ||
\end{matrix} \right] & | \end{matrix} \right] & = & \left[ \begin{matrix} | ||
2 & 5 & 4 \\ | 2 & 5 & 4 \\ | ||
0 & 11 & -4 \\ | 0 & 11 & -4 \\ | ||