Output of: 'M1stUse.exe' version 0.50 2011.09.09 JMS The program may have errors. Input data may have been mis-interpreted. USE THIS PROGRAM'S RESULTS ONLY AT YOUR OWN RISK. Opening file 'MUSEIN.TXT' for input: Run: 09-09-2011 15:03:54 K-Equations: 3 N-Unknowns : 3 L-Outputs : 4 kEquations = nUnknowns [A:Y] will be solved left-to-right. Input from 'MUseIn.Txt': (Trailing commas cause read errors.) 1 2 3 1 0.3000 1.0000 0.1000 2.2000 0.0000 1.0000 0.0000 2 1.0000 0.2000 0.3000 1.1000 1.0000 0.0000 0.0000 3 0.1000 0.2000 1.0000 -0.5000 0.0000 0.0000 1.0000 Set the noise floor: ValMin= 0.000000010000000 ----- Top of the loop: Reduce Row/column 1: ----- 1 2 3 1 0.3000 1.0000 0.1000 2.2000 0.0000 1.0000 0.0000 2 1.0000 0.2000 0.3000 1.1000 1.0000 0.0000 0.0000 3 0.1000 0.2000 1.0000 -0.5000 0.0000 0.0000 1.0000 Find the largest coeff. in column 1 of [A]: The abs(max)= 1.0000 at n= 2 No division needed - step skipped. Swapping row 2 with row 1: [A:Y] becomes: 1 2 3 1 1.0000 0.2000 0.3000 1.1000 1.0000 0.0000 0.0000 2 0.3000 1.0000 0.1000 2.2000 0.0000 1.0000 0.0000 3 0.1000 0.2000 1.0000 -0.5000 0.0000 0.0000 1.0000 Subtract row 1 from the other rows using a multiplier: Reduce row 2 using multiplier 0.3000; [A:Y] becomes: 1 2 3 1 1.0000 0.2000 0.3000 1.1000 1.0000 0.0000 0.0000 2 0.0000 0.9400 0.0100 1.8700 -0.3000 1.0000 0.0000 3 0.1000 0.2000 1.0000 -0.5000 0.0000 0.0000 1.0000 Reduce row 3 using multiplier 0.1000; [A:Y] becomes: 1 2 3 1 1.0000 0.2000 0.3000 1.1000 1.0000 0.0000 0.0000 2 0.0000 0.9400 0.0100 1.8700 -0.3000 1.0000 0.0000 3 0.0000 0.1800 0.9700 -0.6100 -0.1000 0.0000 1.0000 ----- Top of the loop: Reduce Row/column 2: ----- 1 2 3 1 1.0000 0.2000 0.3000 1.1000 1.0000 0.0000 0.0000 2 0.0000 0.9400 0.0100 1.8700 -0.3000 1.0000 0.0000 3 0.0000 0.1800 0.9700 -0.6100 -0.1000 0.0000 1.0000 Find the largest coeff. in column 2 of [A]: The abs(max)= 0.9400 at n= 2 Dividing row 2 by 0.9400, [A:Y] becomes: 1 2 3 1 1.0000 0.2000 0.3000 1.1000 1.0000 0.0000 0.0000 2 0.0000 1.0000 0.0106 1.9894 -0.3191 1.0638 0.0000 3 0.0000 0.1800 0.9700 -0.6100 -0.1000 0.0000 1.0000 No row swapping needed - step skipped. Subtract row 2 from the other rows using a multiplier: Reduce row 1 using multiplier 0.2000; [A:Y] becomes: 1 2 3 1 1.0000 0.0000 0.2979 0.7021 1.0638 -0.2128 0.0000 2 0.0000 1.0000 0.0106 1.9894 -0.3191 1.0638 0.0000 3 0.0000 0.1800 0.9700 -0.6100 -0.1000 0.0000 1.0000 Reduce row 3 using multiplier 0.1800; [A:Y] becomes: 1 2 3 1 1.0000 0.0000 0.2979 0.7021 1.0638 -0.2128 0.0000 2 0.0000 1.0000 0.0106 1.9894 -0.3191 1.0638 0.0000 3 0.0000 0.0000 0.9681 -0.9681 -0.0426 -0.1915 1.0000 ----- Top of the loop: Reduce Row/column 3: ----- 1 2 3 1 1.0000 0.0000 0.2979 0.7021 1.0638 -0.2128 0.0000 2 0.0000 1.0000 0.0106 1.9894 -0.3191 1.0638 0.0000 3 0.0000 0.0000 0.9681 -0.9681 -0.0426 -0.1915 1.0000 Find the largest coeff. in column 3 of [A]: The abs(max)= 0.9681 at n= 3 Dividing row 3 by 0.9681, [A:Y] becomes: 1 2 3 1 1.0000 0.0000 0.2979 0.7021 1.0638 -0.2128 0.0000 2 0.0000 1.0000 0.0106 1.9894 -0.3191 1.0638 0.0000 3 0.0000 0.0000 1.0000 -1.0000 -0.0440 -0.1978 1.0330 No row swapping needed - step skipped. Subtract row 3 from the other rows using a multiplier: Reduce row 1 using multiplier 0.2979; [A:Y] becomes: 1 2 3 1 1.0000 0.0000 0.0000 1.0000 1.0769 -0.1538 -0.3077 2 0.0000 1.0000 0.0106 1.9894 -0.3191 1.0638 0.0000 3 0.0000 0.0000 1.0000 -1.0000 -0.0440 -0.1978 1.0330 Reduce row 2 using multiplier 0.0106; [A:Y] becomes: 1 2 3 1 1.0000 0.0000 0.0000 1.0000 1.0769 -0.1538 -0.3077 2 0.0000 1.0000 0.0000 2.0000 -0.3187 1.0659 -0.0110 3 0.0000 0.0000 1.0000 -1.0000 -0.0440 -0.1978 1.0330 *** 'm1stUse.exe' - the solution of your input [A:Y] is: *** [I:X] = 1 2 3 1 1.0000 0.0000 0.0000 1.0000 1.0769 -0.1538 -0.3077 2 0.0000 1.0000 0.0000 2.0000 -0.3187 1.0659 -0.0110 3 0.0000 0.0000 1.0000 -1.0000 -0.0440 -0.1978 1.0330 The Answers for each of your `L-Output` columns: Answers for column 1: Unknown 1= 1.000000000000 Unknown 2= 2.000000000000 Unknown 3= -1.000000000000 Answers for column 2: Unknown 1= 1.076923076923 Unknown 2= -0.318681318681 Unknown 3= -0.043956043956 Answers for column 3: Unknown 1= -0.153846153846 Unknown 2= 1.065934065934 Unknown 3= -0.197802197802 Answers for column 4: Unknown 1= -0.307692307692 Unknown 2= -0.010989010989 Unknown 3= 1.032967032967 Done: 09-09-2011 15:03:54.