SOLUTION: Solve by using the Gauss-Jordan elimination method:
x+y-z=2
2x+3y-z=7
3x-2y+z=9
I know that you have to convert them to
1 0 0 | 2
0 1 0 | 7
0 0 1 | 9
I am just n
Algebra.Com
Question 102522: Solve by using the Gauss-Jordan elimination method:
x+y-z=2
2x+3y-z=7
3x-2y+z=9
I know that you have to convert them to
1 0 0 | 2
0 1 0 | 7
0 0 1 | 9
I am just not clear on how to do this row by row.
Any help would be greatly appreciated.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given matrix:
Add -2*Row 1 to Row 2 to get the new Row 2
Add -3*Row 1 to Row 3 to get the new Row 3
Add 5*Row 2 to Row 3 to get the new Row 3
Multiply Row 3 by to make the pivot 1:
Add -1*Row 3 to Row 2 to get the new Row 2
Add -1*Row 2 to Row 1 to get the new Row
The matrix is now in reduced row echelon form
If you need more help with row reduction or Gaussian elimination, check out The Linear Algebra Toolkit, and it will take you step-by-step through any Gaussian elimination problem.
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