I am having problem with this question
T: P2 --->R^2 T(a+bx+cx^2)=(a,b)
Find the basis for the kernel T and basis for the image T
according to the text book Kernel = { T(v)= 0 }, so the kernel should look like
T (a+bx+cx^2)=(0,0)
how exactly do you find the basis?
As for the image, up to my understanding, is it the entire vector space of P2 map into a subspace of R^2?