Finding N(T) and R(T): Solving a Linear Transformation Problem

[pyroknife]

Alright this problem has really gotten me confused. I skipped 1 and 2 because I know how to do those, but 3 and 4, I do not.

I think the problem statement is saying the linear transformation transforms the vector space V to R^2. and it's defined by T(f)=...

For 3) find a basis for N(T)

The book defines N(T) as = {v ε V l T(v)=0}
So I must find T such that T(v)=0.


I have no clue how to do this problem. can someone give me a hint?
I've looked at other types of problems where we find a basis for N(T) and those seem easy, but this one just got me confused.

What is f?

 

[SammyS]

Alright this problem has really gotten me confused. I skipped 1 and 2 because I know how to do those, but 3 and 4, I do not.

I think the problem statement is saying the linear transformation transforms the vector space V to R^2. and it's defined by T(f)=...

For 3) find a basis for N(T)

The book defines N(T) as = {v ε V l T(v)=0}
So I must find T such that T(v)=0.

I have no clue how to do this problem. can someone give me a hint?
I've looked at other types of problems where we find a basis for N(T) and those seem easy, but this one just got me confused.

What is f?

Where are the problems?

I see none !

Added in Edit:

Here it is:

 

[pyroknife]

Where are the problems?

I see none !

Where are the problems?

I see none !

Oh sorry.