Let A = M (f) be the matrix associated with the linear map f((x,y,z)) = (x-2y.y+2.0) relative to the bases B=(u=(1,0.3); v= (0,2,1), w=(2,1.0) ) and B'='=(0,0.2) :'=(1,0,3); w=(1,3,1)) Then the first column of A is: O(1/2) 0 0 0 0 -1/2 1/2 -1/2 1/2 -1/2 0 -1/2 1/2 -1/2

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...
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Let A=N
A=M²
1(f) be the matrix associated with the linear map f((x,y,z)) = (x-2y.y + z.0) relative to the bases
v= (0,2.1), w=(2,1,0)) and B'='=(0,0.2); y'=(1,0,3); w=(1,3,1)) Then the first column of A is:
B=(u=(1,0.3);
O(1/2)
0
0
0
0
-1/2
1/2
-1/2
1/2
-1/2
0
1
-1/2
1/2
-1/2
Transcribed Image Text:Let A=N A=M² 1(f) be the matrix associated with the linear map f((x,y,z)) = (x-2y.y + z.0) relative to the bases v= (0,2.1), w=(2,1,0)) and B'='=(0,0.2); y'=(1,0,3); w=(1,3,1)) Then the first column of A is: B=(u=(1,0.3); O(1/2) 0 0 0 0 -1/2 1/2 -1/2 1/2 -1/2 0 1 -1/2 1/2 -1/2
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