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)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 6E
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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)
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)
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