Let T : R3 → R³ be a linear transformation, given by [ 1 -1 -1 T(x) -1 1 -1 х. -1 -1 1

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 24E: Let T be a linear transformation from R2 into R2 such that T(1,2)=(1,0) and T(1,1)=(0,1). Find...
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(a) Show that the linear transformation is one-to-one. (b) Show that the linear transformation is onto. (c) Find the inverse transformation of T.

Let T : R3 → R³ be a linear transformation, given by
[:
1
-1
-1
T(x)
-1
1
-1
х.
-1
-1
1
Transcribed Image Text:Let T : R3 → R³ be a linear transformation, given by [: 1 -1 -1 T(x) -1 1 -1 х. -1 -1 1
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