I have a question here where I'm supposed to get the kernel and image of a linear transformation. I think I must be missing something, coz I feel like I haven't done enough!
Let T: be the linear transformation defined by
(a) Find the kernel of T
(b) Show that (1,0) and (0,1) are in the range of T. Determine the range of T.
For (a), I just let:
and I get .
So is my answer: kerT=
I'm guessing this is a stupid question, and I'm missing out loads! Help would be appreciated!