Determine whether the given linear operator/matrix is diagonalizable. (a) T: R³ → R³ with T(1, 1, 1) = (2, 2, 2), T(0, 1, 1) = (0, −3,−3) and T(1, 2, 3) = (-1, -2, -3) -2 (b) C = =[1² 3

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 3EQ: In Exercises 1-12, determine whether T is a linear transformation. T:MnnMnn defines by T(A)=AB,...
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Determine whether the given linear operator/matrix is diagonalizable.
(a) T: R³ R³ with T(1, 1, 1) = (2, 2, 2), T(0, 1, 1) = (0, −3,−3) and T(1, 2, 3) = (–1, −2, -3)
-2
(b) C =
=[1² 3
Transcribed Image Text:Determine whether the given linear operator/matrix is diagonalizable. (a) T: R³ R³ with T(1, 1, 1) = (2, 2, 2), T(0, 1, 1) = (0, −3,−3) and T(1, 2, 3) = (–1, −2, -3) -2 (b) C = =[1² 3
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