Given a linear transformation T in R3 which transforms: T[ 1,0,0] = [ 1,1,0] T[ 0,1,0] = [ 2,1,-1] T[ 0,0,1] = [ 1,2,3] Find: The linear transformation matrix T relative to the base: [e1 = ( 1,0,0), e2 = ( 0,1,0), e3 = ( 0,0,1 )] b. Map of vectors [ 3,2,1] Map of the line g: x = [ 3,2,1 1T + A[ 1,2,3 1T C.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Given a linear transformation T in R3 which transforms:
T[ 1,0,0] = [1,1,0]
T[ 0,1,0] = [ 2,1,-1]
T[ 0,0,1] = [ 1,2,3 ]
Find:
The linear transformation matrix T relative to the base:
[e1 = ( 1,0,0), ez = ( 0,1,0), e3 = ( 0,0,1)]
b. Map of vectors [ 3,2,1]
Map of the line g: x = [ 3,2,1 ] + A[ 1,2,3 ]"
%3D
%3D
C.
Transcribed Image Text:1. Given a linear transformation T in R3 which transforms: T[ 1,0,0] = [1,1,0] T[ 0,1,0] = [ 2,1,-1] T[ 0,0,1] = [ 1,2,3 ] Find: The linear transformation matrix T relative to the base: [e1 = ( 1,0,0), ez = ( 0,1,0), e3 = ( 0,0,1)] b. Map of vectors [ 3,2,1] Map of the line g: x = [ 3,2,1 ] + A[ 1,2,3 ]" %3D %3D C.
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