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

Answer 1

pice of cake :p

Answer 2

@pipa u there

Answer 3

yup

Answer 4

http://mathworld.wolfram.com/LinearTransformation.html

Answer 5

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

Answer 6

okkk thanks

Answer 7

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

Answer 8

hmmm but i have another issue with it

Answer 9

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

Answer 10

I just took that as a typo...

Answer 11

whtvr its fine I am gonna ask my tutor

Answer 12

he just came

Answer 13

So I am no longer needed?

Answer 14

well if u have an answer i wld love to hear

Answer 15

but dont stress urself out over this question @TuringTest

Answer 16

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

Answer 17

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

Answer 18

I don't see any mistake?