Determine whether the transformation (a) is one-to-one. T (1)-1 = 1+2 3+2x4+4x5 -2x1 - x₂ + 2x3 - 3x4 + 2x5 x1 + x2+2x4+x5 -x1 + 2x2+2x4+ 3x5 -

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 20CR: Let T be a linear transformation from R3 into R such that T(1,1,1)=1, T(1,1,0)=2 and T(1,0,0)=3....
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Determine whether the transformation
(a)
is one-to-one.
T
-(]])-[
5
៩ ៩ ៖
T1 + 2 − z + 2xx + 4xs
—21 — x2 + 2xz — 3za + 2xz
ឆ + 2 + 2xa + x5
-x1 + 2x2+2x4+ 3x5
Transcribed Image Text:Determine whether the transformation (a) is one-to-one. T -(]])-[ 5 ៩ ៩ ៖ T1 + 2 − z + 2xx + 4xs —21 — x2 + 2xz — 3za + 2xz ឆ + 2 + 2xa + x5 -x1 + 2x2+2x4+ 3x5
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