Determine whether the function is a linear transformation:
T:P_2 - P_2, T(a_0+a_1x+a_2x^2) = a_1+2a_2x

Question

Determine whether the function is a  linear transformation:
T:P_2 -> P_2, T(a_0+a_1x+a_2x^2) = a_1+2a_2x

razor99 · Answer

pice of cake :p

razor99 · Answer

@pipa u there

anonymous · Answer

yup

razor99 · Answer

anonymous · Answer

You need to prove that $$T(\alpha \vec{v} + \vec{w})=\alpha T(\vec{v})+T(\vec{w})$$

anonymous · Answer

okkk thanks

turingtest · Answer

my understanding is that you need to prove two things$$T(\vec u+\vec v)=T(\vec u)+T(\vec v)$$and$$T(c\vec u)=cT(\vec v)$$

anonymous · Answer

hmmm but i have another issue with it

anonymous · Answer

see it says T: P_2 -> P_2 but its not so look at it

turingtest · Answer

I just took that as a typo...

anonymous · Answer

whtvr its fine I am gonna ask my tutor

anonymous · Answer

he just came

turingtest · Answer

So I am no longer needed?

anonymous · Answer

well if u have an answer i wld love to hear

anonymous · Answer

but dont stress urself out over this question @TuringTest

turingtest · Answer

I'm not so swift with this stuff
I'll keep staring at what references I have and let you know if it clicks

anonymous · Answer

kk Thanks @TuringTest I have the answer already. Thanks seriously. That sounded rude but it wasnt suppossed to. Thanks again

anonymous · Answer

I don't see any mistake?