Reduced Row Echelon Matrix

  • Thread starter iasc
  • Start date
  • #1
17
0
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.
 

Answers and Replies

  • #2
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.
 
  • #3
HallsofIvy
Science Advisor
Homework Helper
41,847
966
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.
 
  • #4
17
0
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.
 

Related Threads on Reduced Row Echelon Matrix

Replies
5
Views
3K
  • Last Post
Replies
3
Views
5K
  • Last Post
Replies
9
Views
2K
Replies
7
Views
11K
  • Last Post
Replies
3
Views
873
Replies
6
Views
1K
Replies
8
Views
3K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
6
Views
2K
Top