Jay Converse
Math 446
Project 3

1. The system of equations that are solved on the MATLAB printout is:

4x1 + 2x2 + 3x3 + 4x4 + 0x5 = 33
3x1 + 2x2 + 0x3 + 0x4 + 0x5 = 7
0x1 + 4x2 + 3x3 + 1x4 + 2x5 = 31
2x1 + 5x2 + 1x3 + 3x4 + 2x5 = 37
1x1 + 3x2 + 6x3 + 2x4 + 1x5 = 38

where x1 = 1, x2 = 2, x3 = 3, x4 = 4, x5 = 5.

2 and 3.

The table of RFE, RBE, and EMF is as follows:

n          RFE          RBE          EMF
5        3.0045e-12   8.1145e-17   3.7026e+04
6        2.4351e-10   4.2739e-17   5.6975e+06
7        3.5403e-09   8.2482e-17   4.2922e+07
8        5.9323e-08   7.2338e-17   8.2008e+08
9        1.0888e-07   1.1521e-16   9.4510e+08
10       3.2020e-06   8.3570e-17   3.8312e+10

4. The smallest n that causes RFE to completely fail is 17, the output of which is included in the MATLAB printout.