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1 20 Let A = = - -20 1 and b 1 4 -3 -1 4 Define a transformation T: R³ -> R³ by T(x) = Ax. <- If possible, find a vector x whose image under T is b. Otherwise, state that b is not in the range of the transformation T.

1 20 Let A = = - -20 1 and b 1 4 -3 -1 4 Define a transformation T: R³ -> R³ by T(x) = Ax. <- If possible, find a vector x whose image under T is b. Otherwise, state that b is not in the range of the transformation T.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
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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1 20 Let A = = - -20 1 and b 1 4 -3 -1 4 Define a transformation T: R³ -> R³ by T(x) = Ax. <- If possible, find a vector x whose image under T is b. Otherwise, state that b is not in the range of the transformation T.
Transcribed Image Text:1 20 Let A = = - -20 1 and b 1 4 -3 -1 4 Define a transformation T: R³ -> R³ by T(x) = Ax. <- If possible, find a vector x whose image under T is b. Otherwise, state that b is not in the range of the transformation T.
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