15. Show that T is a linear transformation from R4 to R4 by finding a matrix that implements the mapping. ·X1 |X1 + 6x2 x2 T 0-A = X3 3x₂ + x4 LX4 - X4

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 21CR: Let T be a linear transformation from R2 into R2 such that T(4,2)=(2,2) and T(3,3)=(3,3). Find...
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15.
Show that T is a linear transformation from R¹ to R4 by finding a matrix that implements the
mapping.
[x₁ + 6x₂]
0
x2
(D)-|
X3
3x₂ + x4
LX4-
X2 - X4
T
Transcribed Image Text:15. Show that T is a linear transformation from R¹ to R4 by finding a matrix that implements the mapping. [x₁ + 6x₂] 0 x2 (D)-| X3 3x₂ + x4 LX4- X2 - X4 T
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