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Exercise 3.3.1 In each case find the characteristic poly nomial, eigenvalues, eigenvectors, and (if possible) an in vertible matrix P such that P-1AP is diagonal. a. A = [ 1 2 2-4 b. A = 32 -1 -1 70-4 11-3 c. A = 05 0 d. A = 2 0 6 50 -2 1 -1 5 1-2 3 01 0 e. A = 2 6-6 f. A = 301 1 2 2 -1 200 3 1 1 2 1 1 g. A = -4-2-5 h. A = 0 10 225 1-12

Exercise 3.3.1 In each case find the characteristic poly nomial, eigenvalues, eigenvectors, and (if possible) an in vertible matrix P such that P-1AP is diagonal. a. A = [ 1 2 2-4 b. A = 32 -1 -1 70-4 11-3 c. A = 05 0 d. A = 2 0 6 50 -2 1 -1 5 1-2 3 01 0 e. A = 2 6-6 f. A = 301 1 2 2 -1 200 3 1 1 2 1 1 g. A = -4-2-5 h. A = 0 10 225 1-12

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.5: Eigenvalues And Eigenvectors
Problem 9E: For Exercises 512, find the eigenvalues and their corresponding eigenvectors. [4321]
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Exercise 3.3.1 In each case find the characteristic poly nomial, eigenvalues, eigenvectors, and (if possible) an in vertible matrix P such that P-1AP is diagonal. a. A = [ 1 2 2-4 b. A = 32 -1 -1 70-4 11-3 c. A = 05 0 d. A = 2 0 6 50 -2 1 -1 5 1-2 3 01 0 e. A = 2 6-6 f. A = 301 1 2 2 -1 200 3 1 1 2 1 1 g. A = -4-2-5 h. A = 0 10 225 1-12
Transcribed Image Text:Exercise 3.3.1 In each case find the characteristic poly nomial, eigenvalues, eigenvectors, and (if possible) an in vertible matrix P such that P-1AP is diagonal. a. A = [ 1 2 2-4 b. A = 32 -1 -1 70-4 11-3 c. A = 05 0 d. A = 2 0 6 50 -2 1 -1 5 1-2 3 01 0 e. A = 2 6-6 f. A = 301 1 2 2 -1 200 3 1 1 2 1 1 g. A = -4-2-5 h. A = 0 10 225 1-12
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