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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)
 one year ago
 one year ago
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)
 one year ago
 one year ago

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brinetheryBest ResponseYou've already chosen the best response.0
Fallingangel, don't ever take linear algebra. It is the worstest!
 one year ago

brinetheryBest ResponseYou've already chosen the best response.0
@nodata see the pdf file.
 one year ago

NodataBest ResponseYou've already chosen the best response.1
I think you need to apply the transformation to each vector of the basis.
 one year ago

NodataBest ResponseYou've already chosen the best response.1
and you form a matrix with the coefficients of the result in columns.
 one year ago

brinetheryBest ResponseYou've already chosen the best response.0
So would the first vector in the basis for f1 be [1,0,2] because of the standard basis [1,x,x^2]?
 one year ago

NodataBest ResponseYou've already chosen the best response.1
I thought that is the way, but I'm checking. if its true.
 one year ago

NodataBest ResponseYou've already chosen the best response.1
Hmm what is the result of apply the transformation to the f_1 vector?
 one year ago

alexwee123Best ResponseYou've already chosen the best response.0
ugh linear algebra o.0
 one year ago

brinetheryBest ResponseYou've already chosen the best response.0
haha true alex. It's sht sh(((ts
 one year ago

NodataBest ResponseYou've already chosen the best response.1
\[T(f_1(t)) = f_1(2t+1)=1+2(2t+1)^2\]
 one year ago

NodataBest ResponseYou've already chosen the best response.1
I got \(3 + 8t + 8t^2\) am I right?
 one year ago

brinetheryBest ResponseYou've already chosen the best response.0
sec... I think there's something more you have to do. Let me pull up some pages from a book.
 one year ago

brinetheryBest ResponseYou've already chosen the best response.0
So it looks like you first have to plug 2t+1 into the x's in your standard P2 polynomial first.
 one year ago

brinetheryBest ResponseYou've already chosen the best response.0
So you'll have 4t^2+4t+1
 one year ago

NodataBest ResponseYou've already chosen the best response.1
what is your standard polynomial?
 one year ago

brinetheryBest ResponseYou've already chosen the best response.0
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
 one year ago

brinetheryBest ResponseYou've already chosen the best response.0
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.
 one year ago

NodataBest ResponseYou've already chosen the best response.1
You need to remember how to obtain the matrix of a transformation first.
 one year ago

NodataBest ResponseYou've already chosen the best response.1
Always go back to your definitions and well understood theorems brinethery.
 one year ago

NodataBest ResponseYou've already chosen the best response.1
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.
 one year ago

NodataBest ResponseYou've already chosen the best response.1
take some rest if you need it.
 one year ago

brinetheryBest ResponseYou've already chosen the best response.0
I'm fine, I just really need help to this question
 one year ago

NodataBest ResponseYou've already chosen the best response.1
As I said you before, you just need to apply the transformation to each of the vectors of your basis. and form a matrix.
 one year ago

NodataBest ResponseYou've already chosen the best response.1
with the results aligned in columns.
 one year ago

brinetheryBest ResponseYou've already chosen the best response.0
http://www.youtube.com/watch?v=Du84AF2VOWA&feature=related
 one year ago

NodataBest ResponseYou've already chosen the best response.1
I mean: \[\left[\begin{matrix} F^T(f_1(t))& F^T(f_2(t)) & F^T(f_3(t)) &\end{matrix}\right]\]
 one year ago

NodataBest ResponseYou've already chosen the best response.1
Sorry I can't see you tube videos at work. =(
 one year ago

NodataBest ResponseYou've already chosen the best response.1
but what does it show the video?
 one year ago

brinetheryBest ResponseYou've already chosen the best response.0
My goal in life is to travel to Buenos Aires and learn tango there
 one year ago

NodataBest ResponseYou've already chosen the best response.1
You mean one of the many goals on your life =P
 one year ago

brinetheryBest ResponseYou've already chosen the best response.0
I have no other goals. If I could just dance then I would be happy lol
 one year ago

NodataBest ResponseYou've already chosen the best response.1
look for punk tango on you tube.
 one year ago

NodataBest ResponseYou've already chosen the best response.1
that is the tango i want to dance haha
 one year ago

NodataBest ResponseYou've already chosen the best response.1
well thank you brinethery.
 one year ago

NodataBest ResponseYou've already chosen the best response.1
I really miss math.. snif snif haha
 one year ago
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