Math 484.2.  December 6  2007 .   Midterm 3.  
5 problems, 15 pts each. Name____________________________

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


2.
1
 2
 1
 2
 3
 4
 5
3
 2
 3
 1
 4
 5
 4
3
 2
 3
 1
 2
 3
 1
5
 2
 5
 0
 4
 3
 2
4
 1
 5
 1
 2
 1
 3

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

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

x+2y = 3
4x+5y=6
7x+8y=9
10x+11y=0.

5. Find the mean, the midrange, and the central value for the following numbers:
0,-1,-1, 3,4,5,-1,7,8,9,10, -1, -2.