SOLUTION: How can I solve this by using Guass-Jordan Elimination?? 1 -1 1|6 2 1 1| 3 1 1 1| 2

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Question 957911: How can I solve this by using Guass-Jordan Elimination??
1 -1 1|6
2 1 1| 3
1 1 1| 2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Your matrix

%28matrix%283%2C4%2C1%2C-1%2C1%2C6%2C2%2C1%2C1%2C3%2C1%2C1%2C1%2C2%29%29

Find the pivot in the 1st column in the 1st row

%28matrix%283%2C4%2C1%2C-1%2C1%2C6%2C2%2C1%2C1%2C3%2C1%2C1%2C1%2C2%29%29

Eliminate the 1st column

%28matrix%283%2C4%2C1%2C-1%2C1%2C6%2C0%2C3%2C-1%2C-9%2C0%2C2%2C0%2C-4%29%29

Make the pivot in the 2nd column by dividing the 2nd row by 3

%28matrix%284%2C3%2C1%2C-1%2C1%2C6%2C0%2C1%2C-1%2F3%2C-3%2C0%2C2%2C0%2C-4%29%29

Eliminate the 2nd column

%28matrix%283%2C4%2C1%2C0%2C2%2F3%2C3%2C0%2C1%2C-1%2F3%2C-3%2C0%2C0%2C2%2F3%2C2%29%29

Make the pivot in the 3rd column by dividing the 3rd row by 2/3

%28matrix%283%2C4%2C1%2C0%2C2%2F3%2C3%2C0%2C1%2C-1%2F3%2C-3%2C0%2C0%2C1%2C3%29%29

Eliminate the 3rd column

%28matrix%283%2C4%2C1%2C0%2C0%2C0%2C0%2C1%2C0%2C-2%2C0%2C0%2C1%2C3%29%29


Solution set:
x%5B1%5D+=+1
x%5B2%5D+=+-2
x%5B3%5D+=+3