By using Gauss JordanElimination Find the currents 10I 1 - 3I 2 - 2I 3 = 60 -5I

Question

By using Gauss JordanElimination Find the currents 10I1- 3I2- 2I3= 60 -5I1+ 10I2- 4I3 = -10 -2I1- 2I2+ 4I3= 6 I've Tried many times but I still can't get the answers inneed of HELP I've use cramers rule and the answer should be I1= 484/37 = 13.08 Amperes I2= 405/37 = 10.95 Amperes I3= 500/37 = 13.51 Amperes By using Gauss JordanElimination Find the currents 10I1- 3I2- 2I3= 60 -5I1+ 10I2- 4I3 = -10 -2I1- 2I2+ 4I3= 6 I've Tried many times but I still can't get the answers inneed of HELP I've use cramers rule and the answer should be I1= 484/37 = 13.08 Amperes I2= 405/37 = 10.95 Amperes I3= 500/37 = 13.51 Amperes

Explanation / Answer

PLEASE RATE : For the equations you have the answers are : : 122/11=11.09 405/44=9.2 1025/88=11.65 : so if those are answers given they are either wrong orequations have an error
Divide row1 by 10
1 -3/10 -1/5 6 -5 10 -4 -10 -2 -2 4 6
Add (5 * row1) to row2
1 -3/10 -1/5 6 0 17/2 -5 20 -2 -2 4 6
Add (2 * row1) to row3
1 -3/10 -1/5 6 0 17/2 -5 20 0 -13/5 18/5 18
Divide row2 by 17/2
1 -3/10 -1/5 6 0 1 -10/17 40/17 0 -13/5 18/5 18
Add (13/5 * row2) to row3
1 -3/10 -1/5 6 0 1 -10/17 40/17 0 0 176/85 410/17
Divide row3 by 176/85
1 -3/10 -1/5 6 0 1 -10/17 40/17 0 0 1 1025/88
Add (10/17 * row3) to row2
1 -3/10 -1/5 6 0 1 0 405/44 0 0 1 1025/88
Add (1/5 * row3) to row1
1 -3/10 0 733/88 0 1 0 405/44 0 0 1 1025/88
Add (3/10 * row2) to row1
1 0 0 122/11 0 1 0 405/44 0 0 1 1025/88 hope this was helpful
Divide row1 by 10
1 -3/10 -1/5 6 -5 10 -4 -10 -2 -2 4 6
Add (5 * row1) to row2
1 -3/10 -1/5 6 0 17/2 -5 20 -2 -2 4 6
Add (2 * row1) to row3
1 -3/10 -1/5 6 0 17/2 -5 20 0 -13/5 18/5 18
Divide row2 by 17/2
1 -3/10 -1/5 6 0 1 -10/17 40/17 0 -13/5 18/5 18
Add (13/5 * row2) to row3
1 -3/10 -1/5 6 0 1 -10/17 40/17 0 0 176/85 410/17
Divide row3 by 176/85
1 -3/10 -1/5 6 0 1 -10/17 40/17 0 0 1 1025/88
Add (10/17 * row3) to row2
1 -3/10 -1/5 6 0 1 0 405/44 0 0 1 1025/88
Add (1/5 * row3) to row1
1 -3/10 0 733/88 0 1 0 405/44 0 0 1 1025/88
Add (3/10 * row2) to row1
1 0 0 122/11 0 1 0 405/44 0 0 1 1025/88 hope this was helpful 1 -3/10 -1/5 6 -5 10 -4 -10 -2 -2 4 6 1 -3/10 -1/5 6 0 17/2 -5 20 -2 -2 4 6 1 -3/10 -1/5 6 0 17/2 -5 20 0 -13/5 18/5 18 1 -3/10 -1/5 6 0 1 -10/17 40/17 0 -13/5 18/5 18 1 -3/10 -1/5 6 0 1 -10/17 40/17 0 0 176/85 410/17 1 -3/10 -1/5 6 0 1 -10/17 40/17 0 0 1 1025/88 1 -3/10 -1/5 6 0 1 0 405/44 0 0 1 1025/88 1 -3/10 0 733/88 0 1 0 405/44 0 0 1 1025/88 1 0 0 122/11 0 1 0 405/44 0 0 1 1025/88 1 0 0 122/11 0 1 0 405/44 0 0 1 1025/88 hope this was helpful 1 -3/10 -1/5 6 -5 10 -4 -10 -2 -2 4 6

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