A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years 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)
 2 years 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)

This Question is Closed

brinethery
 2 years ago
Best ResponseYou've already chosen the best response.0Fallingangel, don't ever take linear algebra. It is the worstest!

brinethery
 2 years ago
Best ResponseYou've already chosen the best response.0@nodata see the pdf file.

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.1I think you need to apply the transformation to each vector of the basis.

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.1and you form a matrix with the coefficients of the result in columns.

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

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.1I thought that is the way, but I'm checking. if its true.

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.1Hmm what is the result of apply the transformation to the f_1 vector?

alexwee123
 2 years ago
Best ResponseYou've already chosen the best response.0ugh linear algebra o.0

brinethery
 2 years ago
Best ResponseYou've already chosen the best response.0haha true alex. It's sht sh(((ts

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.1\[T(f_1(t)) = f_1(2t+1)=1+2(2t+1)^2\]

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

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

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

brinethery
 2 years ago
Best ResponseYou've already chosen the best response.0So you'll have 4t^2+4t+1

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.1what is your standard polynomial?

brinethery
 2 years ago
Best ResponseYou've already chosen the best response.0I 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

brinethery
 2 years ago
Best ResponseYou've already chosen the best response.0See 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.

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.1You need to remember how to obtain the matrix of a transformation first.

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.1Always go back to your definitions and well understood theorems brinethery.

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.1Right 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.

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.1take some rest if you need it.

brinethery
 2 years ago
Best ResponseYou've already chosen the best response.0I'm fine, I just really need help to this question

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

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.1with the results aligned in columns.

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

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.1Sorry I can't see you tube videos at work. =(

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.1but what does it show the video?

brinethery
 2 years ago
Best ResponseYou've already chosen the best response.0My goal in life is to travel to Buenos Aires and learn tango there

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.1You mean one of the many goals on your life =P

brinethery
 2 years ago
Best ResponseYou've already chosen the best response.0I have no other goals. If I could just dance then I would be happy lol

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.1look for punk tango on you tube.

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.1that is the tango i want to dance haha

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.1well thank you brinethery.

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.1I really miss math.. snif snif haha
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.