Linear transformation

  • Thread starter iamzzz
  • Start date
  • #1
22
0

Homework Statement


You are given that T is a linear transformation from R^3 to P2, that T((1,1,-1))
=X, and that T((1,0,-1))=X^2+7X-1. Find T(0,-5,0) or explain why it cannot be determined form the given information.

Homework Equations


None


The Attempt at a Solution


There is only X given, and that 's not enough to fine T(0,-5,0)
 

Answers and Replies

  • #2
LCKurtz
Science Advisor
Homework Helper
Insights Author
Gold Member
9,559
773
Saying that doesn't make it so. What have you tried?
 
  • #3
22
0
T((1,1,-1)) and T((1,0,-1)) should produce something close.
 
  • #4
LCKurtz
Science Advisor
Homework Helper
Insights Author
Gold Member
9,559
773
True. So try something.
 
  • #5
22
0
i dont knwo :(
 
Last edited:
  • #6
LCKurtz
Science Advisor
Homework Helper
Insights Author
Gold Member
9,559
773
Hint: Can you build (0,-5,0) out of what you have?
 
  • #7
22
0
C1*(1,1,-1)+c2(1,0,-1)
C1=-5 and C2=5

-5(1,0,1)+5(1,7,-1)=(5,30,-5)
 
  • #8
LCKurtz
Science Advisor
Homework Helper
Insights Author
Gold Member
9,559
773
You didn't answer my question. Can you get (0,-5,0) or not?
 
  • #9
22
0
no The question did not give the formula of the transformation
 
  • #10
LCKurtz
Science Advisor
Homework Helper
Insights Author
Gold Member
9,559
773
Like I said above, stating it doesn't make it so. It looks like you are just guessing in post #7. You need to show why you can or can not get (0,-5,0) that way.
 
  • #11
22
0
I am going to read textbook. Did not attend class Thanks for the hlep
 
  • #12
HallsofIvy
Science Advisor
Homework Helper
41,847
967
Frankly, you sound like you have never actually taken a course in linear algebra! Do you know what a "linear combination" of vectors is?
 

Related Threads on Linear transformation

  • Last Post
Replies
1
Views
836
  • Last Post
Replies
5
Views
695
  • Last Post
Replies
2
Views
4K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
1
Views
1K
J
  • Last Post
Replies
2
Views
676
  • Last Post
Replies
3
Views
786
  • Last Post
Replies
6
Views
853
  • Last Post
Replies
1
Views
1K
Top