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!