What is the correct way to convert a matrix to reduced row echelon form?

[iasc]

What exactly is a reduced row echelon matrix.

I had to convert this to one:
1 2 1 1 1 1
-3 -6 -2 0 -1 -3
2 4 2 1 3 -3

And got:
1 2 1 1 1 1
0 0 1 3 2 0
0 0 0 1 -1 5

Is this right and, if not, why?

Thanks for the help.

 

[Pagan Harpoon]

Assuming your arithmetic is correct, that is row echelon form. Reduced row echelon form requires that each column with a leading one have nothing else but zeros in it.

 

[HallsofIvy]

You have the signs on the last row wrong. You are subtracting 2 times the first row from the third and should have 1- 2(1)= -1, 3- 2(1)= 1, and -3-2(1)= -5.

 

[iasc]

Thanks for the help.

I got
1 2 0 0 3 -11
0 0 1 0 5 -15
0 0 0 1 -1 5

I think this is right.

I did it the other way round HallsofIvy.