SOLUTION: can someone help me please...... use the gauss-jordan method to solve each system of equations. x + 3y -6z = 7 2x -y +2z = 0 x + y +2z = -1

Question 83993: can someone help me please......
use the gauss-jordan method to solve each system of equations.
x + 3y -6z = 7
2x -y +2z = 0
x + y +2z = -1
Found 2 solutions by stanbon, richwmiller:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Here is a site that will lead you thru an example
step-by-step.
http://aspire.cs.uah.edu/textbook/gauss.html
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Cheers,
Stan H.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
add down (-2/1) *row 1 to row 2
1,0,-6,7
0,-1,14,-14
1,0,2,-1

add down (-1/1) *row 1 to row 3
1,0,-6,7
0,-1,14,-14
0,0,8,-8

divide row 2 by -1/1
1,0,-6,7
0,1,-14,14
0,0,8,-8

add down (0/1) *row 2 to row 3
1,0,-6,7
0,1,-14,14
0,0,8,-8

divide row 3 by 8/1
1,0,-6,7
0,1,-14,14
0,0,1,-1

add up (14/1) *row 3 to row 2
1,0,-6,7
0,1,0,0
0,0,1,-1

add up (6/1) *row 3 to row 1
1,0,0,1
0,1,0,0
0,0,1,-1

add up (0/1) *row 2 to row 1
1,0,0,1
0,1,0,0
0,0,1,-1

final
1,0,0,1
0,1,0,0
0,0,1,-1

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