I am trying to show that
, is a basis for
Linear independence is alright.
where the first equation implies .
I can't figure out how to show it spans
so we get the system of equations
I can kind of see how r,s could exist. But I don't know how to express them explicitly.
Thank you for your help.
Since they are linearly independent, and dim C^2 = 2, it forms a basis.