The matrix T has eigenvalues and eigenvectors: • v = 1 with A =1. -1 1 with = 0. • V3 with A- Sive formulas for the following (-25)*n (A) T" 2(-2/5)n (-2/5)*n (B) T" 3(1/3)'n (C) T" (D) T"
The matrix T has eigenvalues and eigenvectors: • v = 1 with A =1. -1 1 with = 0. • V3 with A- Sive formulas for the following (-25)*n (A) T" 2(-2/5)n (-2/5)*n (B) T" 3(1/3)'n (C) T" (D) T"
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
![The matrix T has eigenvalues and eigenvectors:
• v1 =
1
with
A1 = 1
-1
1
• V2 =
2
with
1
• V3 =
with
Give formulas for the following:
(-2/5)^n
(А) Т" |2
2(-2/5)^n
|(-2/5)^n
(В) Т"
3(1/3)^n
(С) Т"
2
4| +
3
(D) T"
-4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7f8d427-ee20-4d14-84f4-c67ffa38b5e1%2F8dd2146d-f123-451a-ace7-231759866afc%2Fsgtdwko_processed.png&w=3840&q=75)
Transcribed Image Text:The matrix T has eigenvalues and eigenvectors:
• v1 =
1
with
A1 = 1
-1
1
• V2 =
2
with
1
• V3 =
with
Give formulas for the following:
(-2/5)^n
(А) Т" |2
2(-2/5)^n
|(-2/5)^n
(В) Т"
3(1/3)^n
(С) Т"
2
4| +
3
(D) T"
-4
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