If λ=3 is an eigenvalue of A, find the coresponding eigenspace of

A=

[1 1 1

0 2 -1

0 -3 0]

((thats a matrix lol))

So this is how I started:

I put it into the form of (A-3I)x=0 and row reduced it to

[1 0 0| 0

0 1 1| 0

0 0 0|0]

Did i do that right? But now where do I go from here to determine the coresponding eigenSPACE.??

Thanks!!!!!