Question

Find the matrix of the linear transformation T(f(t)) = f(2t+1) from P2 to P2 with respect to the basis B (script B) = (f1 = 1 +2t^2, f2=1, f3=t)

Answer 1

halp!

Answer 2

@No-data

Answer 3

no-dataaaa!

Answer 4

It really doesn't

Answer 5

??

Answer 6

Fallingangel, don't ever take linear algebra. It is the worstest!

Answer 7

@no-data see the pdf file.

Answer 8

ok

Answer 9

I think you need to apply the transformation to each vector of the basis.

Answer 10

and you form a matrix with the coefficients of the result in columns.

Answer 11

So would the first vector in the basis for f1 be [1,0,2] because of the standard basis [1,x,x^2]?

Answer 12

I thought that is the way, but I'm checking. if its true.

Answer 13

Hmm what is the result of apply the transformation to the f_1 vector?

Answer 14

I got 3 + 8t + 8 t^2

Answer 15

ugh linear algebra o.0

Answer 16

haha true alex. It's sht sh(((ts

Answer 17

*the

Answer 18

\[T(f_1(t)) = f_1(2t+1)=1+2(2t+1)^2\]

Answer 19

I got \(3 + 8t + 8t^2\) am I right?

Answer 20

sec... I think there's something more you have to do. Let me pull up some pages from a book.

Answer 21

Ok

Answer 22

So it looks like you first have to plug 2t+1 into the x's in your standard P2 polynomial first.

Answer 23

So you'll have 4t^2+4t+1

Answer 24

what is your standard polynomial?

Answer 25

I guess I meant plug in 1 +2t^2 into our polynomial.

4(1+2t^2)^2 +4t +1 = 4(1+2t^2)(1+2t^2) +4t +1
=4(1 + 4t^2 +4t^4) +4t +1

Answer 26

P2: ax^2 +bx +c

Answer 27

See I'm really confused. I think I'm going to stop right there b/c I'm not on the right track I don't think.

Answer 28

You need to remember how to obtain the matrix of a transformation first.

Answer 29

Always go back to your definitions and well understood theorems brinethery.

Answer 30

Right now I don't remember well, and I don't have math books at work to help you as I wish. But I think that is the way.

Answer 31

take some rest if you need it.

Answer 32

are you allright?

Answer 33

I'm fine, I just really need help to this question

Answer 34

Ok.

Answer 35

How are you?

Answer 36

As I said you before, you just need to apply the transformation to each of the vectors of your basis. and form a matrix.

Answer 37

with the results aligned in columns.

Answer 38

http://www.youtube.com/watch?v=Du84AF2VOWA&feature=related

Answer 39

I mean: \[\left[\begin{matrix} F^T(f_1(t))& F^T(f_2(t)) & F^T(f_3(t)) &\end{matrix}\right]\]

Answer 40

Sorry I can't see you tube videos at work. =(

Answer 41

it's blocked.

Answer 42

That's okay

Answer 43

but what does it show the video?

Answer 44

Argentine tango

Answer 45

My goal in life is to travel to Buenos Aires and learn tango there

Answer 46

You mean one of the many goals on your life =P

Answer 47

I have no other goals. If I could just dance then I would be happy lol

Answer 48

look for punk tango on you tube.

Answer 49

that is the tango i want to dance haha

Answer 50

well thank you brinethery.

Answer 51

I really miss math.. snif snif haha

Answer 52

see you!

Answer 53

bye