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[[ a_{11} a_{12} \cdots a_{1n} | b_1]
[ 0 (a_{22} - \frac{a_{}_{21}}{a_{22}}a_{11}) \cdots a_{2n} | b_2 - \frac{a_{21}}{a_{11}}b_1 ]]
#+BEGIN_SRC c
for (int i = 1; i < n; i++) {
float factor = -a[i][0] / a[0][0];
for (int j = 1; j < n; j++) {
a[i][j] = a[i][j] + factor * a[0][j];
}
b[i] = b[i] + factor * b[0];
}
for (int k = 0; k < (n - 1); k++) {
for (int i = k+1; i < n; i++) {
float factor = -a[i][k] / a[k][k];
for (int j = k+1; j < n; j++) {
a[i][j] = a[i][j] + factor * a[j][k];
}
b[i] = b[i] + factor*b[k];
}
}
#+END_SRC
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