Program to handle the Arithmetic in the Row Reduction of a Linear System
VisualBASIC version (c)1999, Glyn George.

Linear System:

Row 1:    1/1       -2/1        1/1        3/1    
Row 2:    2/1       -3/1        3/1        7/1    
Row 3:   -5/1       10/1       -2/1      -12/1    
Row 4:    3/1       -6/1       -1/1        5/1    

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Selected row operation:    Subtract  2 / 1 times row 1 from row 2 .

Linear System:

Row 1:    1/1       -2/1        1/1        3/1    
Row 2:    0/1        1/1        1/1        1/1    
Row 3:   -5/1       10/1       -2/1      -12/1    
Row 4:    3/1       -6/1       -1/1        5/1    

-----------------------------------------------------------------------------
Selected row operation:    Subtract -5 / 1 times row 1 from row 3 .

Linear System:

Row 1:    1/1       -2/1        1/1        3/1    
Row 2:    0/1        1/1        1/1        1/1    
Row 3:    0/1        0/1        3/1        3/1    
Row 4:    3/1       -6/1       -1/1        5/1    

-----------------------------------------------------------------------------
Selected row operation:    Subtract  3 / 1 times row 1 from row 4 .

Linear System:

Row 1:    1/1       -2/1        1/1        3/1    
Row 2:    0/1        1/1        1/1        1/1    
Row 3:    0/1        0/1        3/1        3/1    
Row 4:    0/1        0/1       -4/1       -4/1    

-----------------------------------------------------------------------------
Selected row operation:    Divide row 3 by  3 / 1 .

Linear System:

Row 1:    1/1       -2/1        1/1        3/1    
Row 2:    0/1        1/1        1/1        1/1    
Row 3:    0/1        0/1        1/1        1/1    
Row 4:    0/1        0/1       -4/1       -4/1    

-----------------------------------------------------------------------------
Selected row operation:    Subtract -4 / 1 times row 3 from row 4 .

Linear System:

Row 1:    1/1       -2/1        1/1        3/1    
Row 2:    0/1        1/1        1/1        1/1    
Row 3:    0/1        0/1        1/1        1/1    
Row 4:    0/1        0/1        0/1        0/1    

-----------------------------------------------------------------------------
Selected row operation:    Subtract  1 / 1 times row 3 from row 1 .

Linear System:

Row 1:    1/1       -2/1        0/1        2/1    
Row 2:    0/1        1/1        1/1        1/1    
Row 3:    0/1        0/1        1/1        1/1    
Row 4:    0/1        0/1        0/1        0/1    

-----------------------------------------------------------------------------
Selected row operation:    Subtract  1 / 1 times row 3 from row 2 .

Linear System:

Row 1:    1/1       -2/1        0/1        2/1    
Row 2:    0/1        1/1        0/1        0/1    
Row 3:    0/1        0/1        1/1        1/1    
Row 4:    0/1        0/1        0/1        0/1    

-----------------------------------------------------------------------------
Selected row operation:    Subtract -2 / 1 times row 2 from row 1 .

Linear System:

Row 1:    1/1        0/1        0/1        2/1    
Row 2:    0/1        1/1        0/1        0/1    
Row 3:    0/1        0/1        1/1        1/1    
Row 4:    0/1        0/1        0/1        0/1    

-----------------------------------------------------------------------------

Program execution terminated.