Math 484.1.  December 6,  2007 .   Midterm 3.  
5 problems, 15 pts each. Name____________________________


  1--3. Solve matrix games:
1.
1
2
3
4
1
2
6
6
3
4
5
4
6
5
5
5
6
5
5
7
6
0
0
1
1
4
2
0
1
1
4
3
2
4
0
4
1
2
1
3
6
0


2.
1
2
3
1
2
4
5
3
1
4
4
2
5
4
3
3
2
5
2
3
1
5
1
4
5
2
3
2
4
1
2
4
2
1
3

3.
2
0
2
-2
2
-2
0
5
4
2
5
0

4.  Find the least-squares solutions   [x, y]  for the system

x+2y = 3
4x+5y=6
7x+8y=9
10x+11y=12.



5. Find the mean, the midrange, and the  central value for the following numbers:
0,-1, 3,4,5,-1,7,8,9,10, 0, -1.