a. Given that v1 = eigenvalues. A₁ = X2 = [] and 72 = 4 are eigenvectors of the matrix -17 12 -18] 13 - " determine the corresponding

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
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a. Given that v1
eigenvalues.
A₁:
X2
=
x(t)
y(t) =
=
=
and 72
=
b. Find the solution to the linear system of differential equations
x(0) = 6 and y(0)
= -5.
H
are eigenvectors of the matrix
X
\y'
=
=
-17 -18]
12 13
- 17x - 18y
12x + 13y
determine the corresponding
satisfying the initial conditions
Transcribed Image Text:a. Given that v1 eigenvalues. A₁: X2 = x(t) y(t) = = = and 72 = b. Find the solution to the linear system of differential equations x(0) = 6 and y(0) = -5. H are eigenvectors of the matrix X \y' = = -17 -18] 12 13 - 17x - 18y 12x + 13y determine the corresponding satisfying the initial conditions
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