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3. Explain why as n goes to infinity. the entries of the vector A" 2 go to infinity, while the entries of 1 An -1 stay the same.

3. Explain why as n goes to infinity. the entries of the vector A" 2 go to infinity, while the entries of 1 An -1 stay the same.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 36E
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PLEASe answer number 3 for me, show all clear steps, thanks

Solve the following exercises, you will need to show all your work to receive full credit. Consider the matrix, 2 1 -2 2 3 -4 1 1 1 - Knowing that f(t) = (t – 1)²(t - 2) is the characteristic polynomial, do the following: 1. find a basis of eigenvectors; 2. Find P such that P- AP is a diagonal matrix D. Give D
Transcribed Image Text:Solve the following exercises, you will need to show all your work to receive full credit. Consider the matrix, 2 1 -2 2 3 -4 1 1 1 - Knowing that f(t) = (t – 1)²(t - 2) is the characteristic polynomial, do the following: 1. find a basis of eigenvectors; 2. Find P such that P- AP is a diagonal matrix D. Give D
3. Explain why as n goes to infinity. the entries of the vector A" 2 1 go to infinity, while the entries of A" -1 stay the same.
Transcribed Image Text:3. Explain why as n goes to infinity. the entries of the vector A" 2 1 go to infinity, while the entries of A" -1 stay the same.
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