Please give your new threads different titles if you start a number at once.

It would be nice to be able to tell which is which

RonL

Results 1 to 3 of 3

- May 11th 2006, 07:29 PM #1

- Joined
- Feb 2006
- From
- Canada
- Posts
- 45

## Algebra3

In the Gauss-Jordan algorithm, the three elementary row operations that may be performed on an n x m matrix are:

(i) Interchange two rows

(ii) Multiply a row by a nonzero constant

(iii) Add a multiple of one row to another row

Are these threeoperations independent, or can one of them be performed using ony the other two operations?

Thanks very much....

- May 12th 2006, 12:46 AM #2

- Joined
- Nov 2005
- From
- someplace
- Posts
- 14,972
- Thanks
- 5

- May 12th 2006, 12:52 AM #3

- Joined
- Nov 2005
- From
- someplace
- Posts
- 14,972
- Thanks
- 5

Originally Posted by**suedenation**

1. Using just ii and iii you cannot achive i, for at least one matrix

2. Using just i and iii you cannot achive ii, for at least one matrix

3. Using just i and ii you cannot achive iii, for at least one matrix

Use the 2x2 or 3x3 identity matrix as your example matrix.

RonL