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1 2 3 -1 3. Define T: RR³ by T(X) = AX where A = 135-2 3813-5 a. Find ker(7). b. Give TWO examples of vectors in the kernel.

1 2 3 -1 3. Define T: RR³ by T(X) = AX where A = 135-2 3813-5 a. Find ker(7). b. Give TWO examples of vectors in the kernel.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 76E: Define T:P2P2 by T(a0+a1x+a2x2)=(2a0+a1a2)+(a1+2a2)xa2x2. Find the eigenvalues and the eigenvectors...
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123 -1 3. Define T: R→→R³ by T(X) = AX where A = 1 3 5 -2 3813-5 a. Find ker(T). b. Give TWO examples of vectors in the kernel. c. Is T one-to-one? Explain.
Transcribed Image Text:123 -1 3. Define T: R→→R³ by T(X) = AX where A = 1 3 5 -2 3813-5 a. Find ker(T). b. Give TWO examples of vectors in the kernel. c. Is T one-to-one? Explain.
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