25 Suppose that A = (²5) 05 Find the eigenvector v₁ with respect to the smallest eigenvalue and the eigenvector v2 with respect to the biggest eigenvalue. Make sure all vector entries are integers with no common factor and the first component of each eigenvector is positive. Let S = [1, 2]. Enter all cells for S.
25 Suppose that A = (²5) 05 Find the eigenvector v₁ with respect to the smallest eigenvalue and the eigenvector v2 with respect to the biggest eigenvalue. Make sure all vector entries are integers with no common factor and the first component of each eigenvector is positive. Let S = [1, 2]. Enter all cells for S.
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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Question
Refer to image below along with questions listed here
a. Whats S =
b. S^−1=
c. Using part a and b, find the diagonal matrix D for which A= SDS^ -1 find what D =
![25
(²5).
05
Suppose that A =
Find the eigenvector
with respect to the smallest eigenvalue
and the eigenvector v₂ with respect to the biggest eigenvalue.
Make sure all vector entries are integers with no common factor and the first component of each
eigenvector is positive.
Let S = [v1, v2]. Enter all cells for S.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F181283bb-83dc-4f09-86f1-fac04e6d4723%2F07dfaf53-0ae4-41d5-8565-01600bf57d01%2Fs053xgh.jpeg&w=3840&q=75)
Transcribed Image Text:25
(²5).
05
Suppose that A =
Find the eigenvector
with respect to the smallest eigenvalue
and the eigenvector v₂ with respect to the biggest eigenvalue.
Make sure all vector entries are integers with no common factor and the first component of each
eigenvector is positive.
Let S = [v1, v2]. Enter all cells for S.
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