[SOLVED] Matrix problem, a bit clueless

Find the reduced row equivalent to , where . I won't show my calculus but I found to be .

Now the problem states : Find all the such that . So I had the following system I think this implies infinity solutions (but I'm not sure) so I thought I made an error. So I restarted the calculus of without following what I've done for my first try and I found out that . Is that possible?

The problem says "the reduced row equivalent to " so I made at least an error... And also if this calculus was right, I would have the same problem solving for , and . Please help me!