Determine whether the given linear operator/matrix is diagonalizable. (@) c = [ 2² ] C (b) T: R³ R³ with T(1, 1, 1) = (2,2,2), 7(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
Section: Chapter Questions
Problem 48RE
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Determine whether the given
linear operator/matrix is diagonalizable.
-2
=[23]
(a) C:
3
(b) 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. -2 =[23] (a) C: 3 (b) 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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