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19


such that

Example 6. We are given


Then


such that


1     0

A =

0     1

-1 -1

3    2

A =

1 -1

-3 -1

0 1

U =

1 —2

2 -1

A =

-1 3

-1 -1


Observe that this example is taken from Examples 1 and 3. The matrix A corre-
sponds to Example 1 and the matrix
A to Example 3. See Figure 3 for Example
3 where there are three completely labeled simplices of type
I after having been
transformed. In this case there is no completely labeled simplex of type
II. The
reader should compare Figure 1 with Figure 3.

Example 7. We are given

2 -1

3 1
-3 0



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