Let y' = Ay be a system of differential equations where A = T The matrix has spectrum X(A) = {-3} and c = The vector d = -5 [3] satisfies the equation (A - rI)d = c. t -3 is an eigenvector of A corresponding to r = -3. 2 0 -3 What is the general solution to the system of differential equations? Ex: 6 Ex: 6 [1] = k₁e [₁] + A₂ (te [] + ₁ []) e Y2 t t
Let y' = Ay be a system of differential equations where A = T The matrix has spectrum X(A) = {-3} and c = The vector d = -5 [3] satisfies the equation (A - rI)d = c. t -3 is an eigenvector of A corresponding to r = -3. 2 0 -3 What is the general solution to the system of differential equations? Ex: 6 Ex: 6 [1] = k₁e [₁] + A₂ (te [] + ₁ []) e Y2 t t
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 70EQ
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![Let y' = Ay be a system of differential equations where A
=
The matrix has spectrum X(A) = {−3} and c =
The vector d
-
[3]
Y2
= k₁e
=
What is the general solution to the system of differential equations?
[3]
satisfies the equation (A — rI)d = c.
Ex: 6
t
Ex: 6
+k₂ te
(te
-3 2
0
is an eigenvector of A corresponding to r
=
t
-3
+ e
-3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe06ccc45-b181-476b-936a-9f36fcaf27d8%2F5b0525da-3380-4b57-8e04-736ba1f94577%2Fv0hdn2b_processed.png&w=3840&q=75)
Transcribed Image Text:Let y' = Ay be a system of differential equations where A
=
The matrix has spectrum X(A) = {−3} and c =
The vector d
-
[3]
Y2
= k₁e
=
What is the general solution to the system of differential equations?
[3]
satisfies the equation (A — rI)d = c.
Ex: 6
t
Ex: 6
+k₂ te
(te
-3 2
0
is an eigenvector of A corresponding to r
=
t
-3
+ e
-3.
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