Question

T:R^3 to R defined by T(v) = find ker (T) and Rng (T) I need help at finding Rng(T) Please.

Answer 1

have you computed the ker(T) ?

Answer 2

yes, I did. I got ker(T) = {v in R^3| v is orthogonal u}
and in R^3 dim(ker(T)) = 2

Answer 3

ok, so what is the dimension of the range T ?

Answer 4

1

Answer 5

I am sorry for not being here to get help. Today is Sunday!!! many housework I have to do and many stuff to study as well.
I appreciate what you did for me.

Answer 6

ok, since the dimension of range T is 1, then range T = R

Answer 7

thank you

Answer 8

@e.mccormick