Finding N(T) and R(T)

  • Thread starter pyroknife
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  • #1
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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?
 

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  • #2
SammyS
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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:

attachment.php?attachmentid=52421&d=1351485538.png
 
Last edited:
  • #3
613
3
Where are the problems?

I see none !

Where are the problems?

I see none !

Oh sorry.
 

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