# What's the difference between these 2 problems?

1. Jul 18, 2014

### Math10

Problem 1: Use Gaussian elimination with back substitution to solve the following system.
Problem 2: Use the Gauss-Jordan method to solve the following system.

I've worked on both of these types of problems but I didn't notice the difference between these 2 types of problems. Aren't the Gaussian elimination with back substitution and the Gauss-Jordan method the same thing?

2. Jul 18, 2014

### SteamKing

Staff Emeritus
3. Jul 19, 2014

### verty

The wikipedia page is not at all clear, search for "Gauss-Jordan" to see where it talks about it.

4. Jul 19, 2014

### SteamKing

Staff Emeritus
Exactly. That's why I said what I said.

5. Jul 19, 2014

### AlephZero

The important thing is the general idea of performing elementary row operations on a matrix to make some of the matrix elements zero. There are more than two practical ways to do this.

IMO debating exactly who discovered (or rediscovered) which particular method is a question for historians, not mathematicians.

6. Jul 19, 2014

### Math10

Thanks for the help, guys.

7. Jul 19, 2014

### micromass

Last edited by a moderator: May 6, 2017