1. Let A-MB (f) be the matrix associated with the linear map f(x,y,z) = (3x-y + 4z,y+z-x,x+y+z) relative to the bases B B={u=(4,18,6), v= (17.1.0), w = (17,0,-5)} and B'= {u'=(2,2,1); v' = (1,0,0); w'=(3,2,0) } Then the first column of A is:

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 44E: Let T:P2P4 be the linear transformation T(p)=x2p. Find the matrix for T relative to the bases...
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Question 41
1. Let A=MB (f) be the matrix associated with the linear map f(x,y,z) = (3x-y + 4z,y+z-x,x+y+z) relative to the bases
v= (17.1.0), w = (17,0,-5)} and B'= {u'=(2,2,1); v'= (1,0,0); w'=(3,2,0)} Then the first column of A is:
B={u=(4,18,6),
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Transcribed Image Text:Question 41 1. Let A=MB (f) be the matrix associated with the linear map f(x,y,z) = (3x-y + 4z,y+z-x,x+y+z) relative to the bases v= (17.1.0), w = (17,0,-5)} and B'= {u'=(2,2,1); v'= (1,0,0); w'=(3,2,0)} Then the first column of A is: B={u=(4,18,6), OA./ 3 °B 1 1 2 B 1 3 09/7 O B. 3 O D. 4 °°A 17 Type here to search O O 0 (99+ a - O 2
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