Suppose that the matrix A has the following eigenvalues and eigenvectors: - [ 4-41) 4i A₁ = 3 + 3i with 7₁ = and A₂ = 3 - 34 with 52 = [4 +41] 4i Write the general real solution for the linear system' = Ar, in the following forms: A. In eigenvalue/eigenvector form: 29-08 [x(t) = C1 y(t) + c₂ 1810- 1810.0 181-1819.9 B. In fundamental matrix form: e
Suppose that the matrix A has the following eigenvalues and eigenvectors: - [ 4-41) 4i A₁ = 3 + 3i with 7₁ = and A₂ = 3 - 34 with 52 = [4 +41] 4i Write the general real solution for the linear system' = Ar, in the following forms: A. In eigenvalue/eigenvector form: 29-08 [x(t) = C1 y(t) + c₂ 1810- 1810.0 181-1819.9 B. In fundamental matrix form: e
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
Pls solve this question correctly instantly in 5 min i will give u 3 like for sure
![Suppose that the matrix A has the following eigenvalues and eigenvectors:
i with 6₁ = [₁41]
4- 4i
A₁ = 3 + 3i
and
A₂ = 3 - 38 with #2 = [4 + 1]
4i
Write the general real solution for the linear system' = Ar, in the following forms:
A. In eigenvalue/eigenvector form:
4-8--819.0
4181 1814.9
[x(t)]
y(t)
[x(t)]
Ly(t)
B. In fundamental matrix form:
y(t)
= C1
=
=
+
=
=
C. As two equations: (write "c1" and "c2" for c₁ and c₂ )
x(t)
188
[₂]
e](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ef2812d-cd35-4818-990b-4497d0e38340%2Fa9e9a17e-af52-48a3-ac25-b29e631856cc%2F74ye73_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that the matrix A has the following eigenvalues and eigenvectors:
i with 6₁ = [₁41]
4- 4i
A₁ = 3 + 3i
and
A₂ = 3 - 38 with #2 = [4 + 1]
4i
Write the general real solution for the linear system' = Ar, in the following forms:
A. In eigenvalue/eigenvector form:
4-8--819.0
4181 1814.9
[x(t)]
y(t)
[x(t)]
Ly(t)
B. In fundamental matrix form:
y(t)
= C1
=
=
+
=
=
C. As two equations: (write "c1" and "c2" for c₁ and c₂ )
x(t)
188
[₂]
e
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
