The matrix A= has the following eigenvalues and eigenvectors: X₁ =-7 ti with and P x2 = X2=-7-1 with consider the system x ²₁ = -7x₁ + ²/23x₂ 르 зхг X-7x2 31= [²] 3 [²] *"(t) = b) x₁ (t) = x ₂(+) = → (2), [8][8] and
The matrix A= has the following eigenvalues and eigenvectors: X₁ =-7 ti with and P x2 = X2=-7-1 with consider the system x ²₁ = -7x₁ + ²/23x₂ 르 зхг X-7x2 31= [²] 3 [²] *"(t) = b) x₁ (t) = x ₂(+) = → (2), [8][8] and
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
A) determine a fundamental set where the fundamental set consists entirely of real solutions
B) write the general real solution for the linear system (write c1 and c2)
![The matrix A =
and
has the following eigenvalues
and eigenvectors:
X₁ =-7 ti with
B
-7
文) (1)=
3]
-7
X2=-7-1 with
consider the system
x₁ = -7x₁ + ²/1/2x2
*2 = - 13/1/2×₁-7×2
b) x₁ (t) =
x ₂(t) =
= [²]
3
[2]
and (2)
x
-19]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb2133c9-e1e5-4d56-9c72-044227328930%2F97a69727-a89e-4baa-a85c-0d646e7f6def%2Fwzy0zuv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The matrix A =
and
has the following eigenvalues
and eigenvectors:
X₁ =-7 ti with
B
-7
文) (1)=
3]
-7
X2=-7-1 with
consider the system
x₁ = -7x₁ + ²/1/2x2
*2 = - 13/1/2×₁-7×2
b) x₁ (t) =
x ₂(t) =
= [²]
3
[2]
and (2)
x
-19]
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