The following list of matrices and their respective char- acteristic polynomials is referred to in Exercises 1-11. 2-1 - [42] p(t) = (t - 3)(t - 1), A C = 320 -14 -2 5 p(t) = -(t 1)²(t+1), L E = -6-1 2 6441 4614 4164 1446 p(t) = (t+ 1)(t + 5)²(t - 15), F 4. C, λ = 1 7. E, λ =-1 10. F, λ = -2 D= -[83] 1 p(t) = (t - 2)², B = 5. C, λ = -1 8. E, λ = 5 11. F, λ = 2 - -7 4-3 8-3 3 32-16 13 p(t) = -(t - 1)³, 1 -1 -1 -1 1 -1 -1 -1-1 1-1 −1 −1 −1 1 p(t) = (t +2) (t - 2)³ In Exercises 1-11, find a basis for the eigenspace Ex for the given matrix and the value of λ. Determine the algebraic and geometric multiplicities of >. 1. A, λ = 3 2. A, λ = 1 3. B, λ = 2 6. D, λ = 1 9. E, λ = 15
The following list of matrices and their respective char- acteristic polynomials is referred to in Exercises 1-11. 2-1 - [42] p(t) = (t - 3)(t - 1), A C = 320 -14 -2 5 p(t) = -(t 1)²(t+1), L E = -6-1 2 6441 4614 4164 1446 p(t) = (t+ 1)(t + 5)²(t - 15), F 4. C, λ = 1 7. E, λ =-1 10. F, λ = -2 D= -[83] 1 p(t) = (t - 2)², B = 5. C, λ = -1 8. E, λ = 5 11. F, λ = 2 - -7 4-3 8-3 3 32-16 13 p(t) = -(t - 1)³, 1 -1 -1 -1 1 -1 -1 -1-1 1-1 −1 −1 −1 1 p(t) = (t +2) (t - 2)³ In Exercises 1-11, find a basis for the eigenspace Ex for the given matrix and the value of λ. Determine the algebraic and geometric multiplicities of >. 1. A, λ = 3 2. A, λ = 1 3. B, λ = 2 6. D, λ = 1 9. E, λ = 15
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 46E
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