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Do you have an idea of where to start?

i have this but i'm not sure
|dw:1349109417654:dw|

did you start with Jem's matrix ?

it does not sure it written math processing error

Works for us... it should be |dw:1349109968192:dw|

|dw:1349110409182:dw|
then wat would be Im(T) and ker(T) if it like this?

Im(T)={+x^2;x^2-x^3;2+x^3} is it gonna be this?

I'm sorry, of degree <= 3

what u mean is the image will
|dw:1349111483400:dw|

ok, then the kernel =0 or what?

yes kernel is empty

Yep

do i write zero or is the any way to represent empty for the kernel?