be the matrix linear map relative to bases B={u=(1,0,3); v = (0,2,1), w=(2,1,0) } Let A = M₁ (f) B' associated with the f((x,y,z)) = (x-2y,y+z,0) the and B'={u'= (0,0, 2); v' = (1,0,3); w'= (1,3,1)} Then the first column of A is:

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 21CM
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B
Let A=M")
be the matrix
B'
associated with the linear map
f((x,y,z)) = (x-2y,y+z,0) relative to
the
bases
B={u= (1,0,3); v = (0,2,1), w=(2,1,0) }
and
B' {u'=(0, 0, 2); v' = (1,0,3); w'= (1,3,1)}
Then the first column of A is:
Transcribed Image Text:B Let A=M") be the matrix B' associated with the linear map f((x,y,z)) = (x-2y,y+z,0) relative to the bases B={u= (1,0,3); v = (0,2,1), w=(2,1,0) } and B' {u'=(0, 0, 2); v' = (1,0,3); w'= (1,3,1)} Then the first column of A is:
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