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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)

Mathematics
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@No-data
no-dataaaa!

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Other answers:

It really doesn't
??
Fallingangel, don't ever take linear algebra. It is the worstest!
@no-data see the pdf file.
ok
I think you need to apply the transformation to each vector of the basis.
and you form a matrix with the coefficients of the result in columns.
So would the first vector in the basis for f1 be [1,0,2] because of the standard basis [1,x,x^2]?
I thought that is the way, but I'm checking. if its true.
Hmm what is the result of apply the transformation to the f_1 vector?
I got 3 + 8t + 8 t^2
ugh linear algebra o.0
haha true alex. It's sht sh(((ts
*the
\[T(f_1(t)) = f_1(2t+1)=1+2(2t+1)^2\]
I got \(3 + 8t + 8t^2\) am I right?
sec... I think there's something more you have to do. Let me pull up some pages from a book.
Ok
So it looks like you first have to plug 2t+1 into the x's in your standard P2 polynomial first.
So you'll have 4t^2+4t+1
what is your standard polynomial?
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
P2: ax^2 +bx +c
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.
You need to remember how to obtain the matrix of a transformation first.
Always go back to your definitions and well understood theorems brinethery.
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.
take some rest if you need it.
are you allright?
I'm fine, I just really need help to this question
Ok.
How are you?
As I said you before, you just need to apply the transformation to each of the vectors of your basis. and form a matrix.
with the results aligned in columns.
http://www.youtube.com/watch?v=Du84AF2VOWA&feature=related
I mean: \[\left[\begin{matrix} F^T(f_1(t))& F^T(f_2(t)) & F^T(f_3(t)) &\end{matrix}\right]\]
Sorry I can't see you tube videos at work. =(
it's blocked.
That's okay
but what does it show the video?
Argentine tango
My goal in life is to travel to Buenos Aires and learn tango there
You mean one of the many goals on your life =P
I have no other goals. If I could just dance then I would be happy lol
look for punk tango on you tube.
that is the tango i want to dance haha
well thank you brinethery.
I really miss math.. snif snif haha
see you!
bye

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