Hey guys!

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

,

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!

Thanks,

SimplySparklers