6. Consider S = [a, b] with p(x, y) = |x – y|. Verify that T : S – S with T(x) = - and a > 1 is a contraction mapping.
6. Consider S = [a, b] with p(x, y) = |x – y|. Verify that T : S – S with T(x) = - and a > 1 is a contraction mapping.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 5CM: Find the kernel of the linear transformation T:R4R4, T(x1,x2,x3,x4)=(x1x2,x2x1,0,x3+x4).
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![6. Consider S =
[a, b] with p(x, y) = |x – y|. Verify that T: S → S with T(x)
* and a > 1 is a
contraction mapping.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77cac1a6-5ad9-4f72-bdd9-21a202e53df4%2F63f9c28e-9691-4952-b7bd-2fa36fbfd16f%2Fihdhvt5_processed.png&w=3840&q=75)
Transcribed Image Text:6. Consider S =
[a, b] with p(x, y) = |x – y|. Verify that T: S → S with T(x)
* and a > 1 is a
contraction mapping.
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