Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A. 8 15 A = -1 0 Choose the correct answer below. - 3 e 3t - 5 e 5t O A. X(t) = 3t e 5t e 3t e 5t O B. X(t) = - 3 e 3t - 5 e 5t - 3 e 5t - 5 e 3t Ос. X(t) — 5t e e 3t e 5t O D. X(t) = e 3t e -3 e 5t - 5 e3 3t

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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Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A.
8 15
A =
- 1
Choose the correct answer below.
.....
- 3 e 3t - 5 e 5t
О А. Х() —
e 3t
e 5t
В. X(t) —
e 3t
e 5t
Oc. X(t) =
- 3 e 5t
- 5 e 3t
- 3 e 3t - 5 e 5t
e 5t
e 3t
5t
O D. X(t) =
e 3t
- 3 e 5t - 5 e 3t
Transcribed Image Text:Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A. 8 15 A = - 1 Choose the correct answer below. ..... - 3 e 3t - 5 e 5t О А. Х() — e 3t e 5t В. X(t) — e 3t e 5t Oc. X(t) = - 3 e 5t - 5 e 3t - 3 e 3t - 5 e 5t e 5t e 3t 5t O D. X(t) = e 3t - 3 e 5t - 5 e 3t
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