(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find a basis for the solution space of the given homogeneous system.

x1 x2 x3 x4

1 2 -1 3 | 0

2 2 -1 6 | 0

1 0 0 3 | 0

3. The attempt at a solution

When I reduced to reduced row echelon form i get the following matrix:

1 0 0 3 | 0

0 1 0 0 | 0

0 0 1 0 | 0

Which I thought it meant that the basis for the solution space would be:

1

0

0

-3

But apparently it isn't...what am I doing wrong?

**Physics Forums - The Fusion of Science and Community**

# Find a basis for the solution space of the given homogeneous system.

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

Have something to add?

- Similar discussions for: Find a basis for the solution space of the given homogeneous system.

Loading...

**Physics Forums - The Fusion of Science and Community**