-6 Consider the system of equations given by: æ' = ӕ. -2 -6 a. Find a fundamental matrix for the system. X(t) = b. Find the matrix exponential, V (t) = eAt, of the system. V (t) = c. Solve the initial value problem with æ(0) = using the matrix exponential found in Part b. x(t) =

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.CR: Chapter Review
Problem 10CC
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Question
-6
Consider the system of equations given by: æ' =
ӕ.
-2 -6
a. Find a fundamental matrix for the system.
X(t) =
b. Find the matrix exponential, V (t) = eAt, of the system.
V (t) =
c. Solve the initial value problem with æ(0) =
using the matrix exponential found in Part b.
x(t) =
Transcribed Image Text:-6 Consider the system of equations given by: æ' = ӕ. -2 -6 a. Find a fundamental matrix for the system. X(t) = b. Find the matrix exponential, V (t) = eAt, of the system. V (t) = c. Solve the initial value problem with æ(0) = using the matrix exponential found in Part b. x(t) =
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