-=Matt's Matrix Program=-

About:

This program, for the TI-82, takes the Matrix in [A], and puts it into either Row Echelon Form 
(REF) or Reduced Row Echelon Form (RREF). Before it performs one of these operations, it puts
the original matrix in [B] so you can always go back to what you started with. The outcome will
be one of three possibilities: No Solutions, One Solution, or Infinite Solutions. On most 
occasions when it's infinite solutions, the calculator will spit out the answer in terms of "T"
of each variable in the matrix. Check the example below for more information.

Example:

4x + 5y + 9z = 8
6x + 5y + 4z = 1
2x + 5y + 6z = 5

Put this into Matrix |A|:

| 4  5  9  8 |
| 6  5  4  1 |
| 2  5  6  5 |

Then start the program:

MATTS MATRIX PRG
1:NEW MATRIX -- Choose this to view the Matrix after you have performed an operation on it.
2:ORIG MATRIX -- Choose this to view the Matrix that you started with.
3:REF -- Choose this to put the Matrix into Row Echelon Form.
4:RREF -- Choose this to put the Matrix into Reduced Row Echelon Form.
5:QUIT -- Choose this to quit the program.
 
Choose #3, REF. You see:

ONE SOLUTION
| 1  5/2  3    5/2 |
| 0  1    7/5  7/2 |
| 0  0    1    5/4 |

Push Enter and you will be taken back to the Main Menu:
Choose #4, RREF. You see:

ONE SOLUTION
| 1  0  0  -3/8  |
| 0  1  0  -7/20 |
| 0  0  1  5/4   |

What this means is:

x = -3/8
y = -7/20
z = 5/4


Information:

If anybody has any questions or problems whatsoever, feel free to e-mail me at mmorris@ucla.edu.
If, by chance, anyone gets an error message or something of the sort, PLEASE let me know so I can
fix it. I am also taking programming ideas for the TI-82 if anyone has any, so let me know.

Enjoy






