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posted by  jords on 8/17/2008 2:24:31 AM  |  status: Live  

linear transformations

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Question Details:
Let V and V¢ be vector spaces with bases B = {e1, e2, e3 } and B¢ = {e¢1, e¢2, e¢3, e¢4 }, respectively.
Furthermore, let T: V ® V¢ be a linear transformation such that
 
   T(e1)=  2e'1 + 6e'2          - e'4
   T(e2)=  -e'1 + 2e'2  -3e'3 - 3e'4
    T(e3)=  e'1 + 6e'2  +e'3 - 6e'4
 
Determine the matrix A of T w.r.t. the bases B and B¢.
 
any help would be grteatly appreciated

AAnswers:

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Karma Points: 1,341
posted by Ronan on 8/17/2008 8:14:49 PM  |  status: Live
Asker's Rating: None Provided    Moderator's Rating: Somewhat Helpful
Response Details:
T =
2    
-1      
1
6
2
6
0
-3
1
-1
-3
-6
 
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