Solve the following exercises, you will need to show all your work to receive full credit. Consider the matrix, 1 3 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
Solve the following exercises, you will need to show all your work to receive full credit. Consider the matrix, 1 3 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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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PLEASE ANSWER number 2 for me, thank in advnace, show all work
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.
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
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