$page_title       = "Exhibit: 9 Chapters";
$page_description = "Exhibit page on systems of equations in Math 21b, Linear Algebra and Applications";
${base}           = "../../";
$robots = "all";

sub main_page {
print OUTPUT<<"EOF"

Here are larger versions of 3 figures given in the article
"Jiu Zhang Suan Shu and the Gauss Algorithm for Linear Equations",
by Ya-Xiang Yuan, Documenta Mathematica, Extra Volume ISMP (2012) 9-14.<br>

<center>
<img src="01.png" width="50%"><br>
Figure 1: Liu Hui 225-295, edited and published the Nine Chapters
(Jiu Zhang Suan Shu) in 263. Here is the problem
<pre>
  3x+2y+z=39 
  2x+3y+z=34
  x+2y+3z=26
</pre>
</center>

<center>
<img src="02.png" width="50%"><br>
Figure 2: Problem 1, Chapter 8 of Jiu Zhang Suan. 
<i>There are three grades of grain: top, medium and low.
Three sheaves of top-grade, two sheaves of medium-grade and one
sheaf of low-grade are 39 Dous 4 . Two sheaves of top-grade, three
sheaves of medium-grade and one sheaf of low-grade are 34 Dous.
One sheaf of top-grade, two sheaves of medium-grade and three
sheaves of low-grade are 26 Dous. How many Dous does one sheaf
of top-grade, medium-grade and low-grade grain yield respectively.</i>
</center>

<center>
<img src="03.png" width="50%"><br>
Figure 3: Gaussian Elimination Algorithm descriptions in Chapter 8
</center>

<center>
<img src="yuanxiang-0.png" width="100%">
<img src="yuanxiang-1.png" width="100%">
<img src="yuanxiang-2.png" width="100%">
<img src="yuanxiang-3.png" width="100%">
<img src="yuanxiang-4.png" width="100%">
<img src="yuanxiang-5.png" width="100%">
</center>

EOF
}

1;