Find a set of vectors spanning the solution space of Ax=0where

So I rref and it's row equivalent to the identity matrix. How do I interpret the result?

- February 27th 2011, 12:35 PMJskidFind a set of vectors spanning the solution space, stuck at last step
Find a set of vectors spanning the solution space of A

**x**=**0**where

So I rref and it's row equivalent to the identity matrix. How do I interpret the result? - February 27th 2011, 01:19 PMtonio
- February 27th 2011, 02:05 PMJskid
I did it wrong,

So

I'm not sure what to do with - February 27th 2011, 02:50 PMPlato
Have you considered

- February 27th 2011, 04:42 PMJskid
I didn't realize a row of 0s could be -r I thought it had to be r

- February 28th 2011, 02:45 AMHallsofIvy
I have no clue what "r" means here. Is it just an arbitrary number?

The equations corresponding to your reduced matrix are , , and . The first two equations can be solved for , . Taking to be your "r", we have , , and, of course, . Taking r= -1 gives Plato's solution and all solutions are a multiple of that.