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!!!!!