If the eigenvalue that corresponds to the 1 eigenvector for the matrix 4i C c = (-16 1 \ is λ = 4i, then which of 0 the following is a fundamental solution to the system X' = CX? 4t sin(t) et (1 4 cos(t) sin(4t) 4 cos(4t) cos(4t) -4 sin(4t ○ 4 cos(4t) sin(4t) None of the above
If the eigenvalue that corresponds to the 1 eigenvector for the matrix 4i C c = (-16 1 \ is λ = 4i, then which of 0 the following is a fundamental solution to the system X' = CX? 4t sin(t) et (1 4 cos(t) sin(4t) 4 cos(4t) cos(4t) -4 sin(4t ○ 4 cos(4t) sin(4t) None of the above
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![If the eigenvalue that corresponds to the
1
eigenvector
for the matrix
4i
C
c = (-16
1
\
is λ = 4i, then which of
0
the following is a fundamental solution to the
system
X' = CX?
4t
sin(t)
et
(1
4 cos(t)
sin(4t)
4 cos(4t)
cos(4t)
-4 sin(4t
○ 4 cos(4t)
sin(4t)
None of the above](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2cc04b1e-803c-4d9d-b550-d2ae04bcc2b3%2Fad20069a-a6cf-441f-930f-88de76fc44bf%2Fda2legh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If the eigenvalue that corresponds to the
1
eigenvector
for the matrix
4i
C
c = (-16
1
\
is λ = 4i, then which of
0
the following is a fundamental solution to the
system
X' = CX?
4t
sin(t)
et
(1
4 cos(t)
sin(4t)
4 cos(4t)
cos(4t)
-4 sin(4t
○ 4 cos(4t)
sin(4t)
None of the above
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