M A T H 2 1 B
Mathematics Math21b Spring 2016
Linear Algebra and Differential Equations
Exhibit: 9 Chapters
Office: SciCtr 432
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.

Figure 1: Liu Hui 225-295, edited and published the Nine Chapters (Jiu Zhang Suan Shu) in 263. Here is the problem
```  3x+2y+z=39
2x+3y+z=34
x+2y+3z=26
```

Figure 2: Problem 1, Chapter 8 of Jiu Zhang Suan. 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.

Figure 3: Gaussian Elimination Algorithm descriptions in Chapter 8