(1 point) Consider the linear system -3 -2 y. 3 a. Find the eigenvalues and eigenvectors for the coefficient matrix. and X2 : b. Find the real-valued solution to the initial value problem — Зул — 2у2, ) = 4, 5ул + Зур, y2 (0) = -10. Use t as the independent variable in your answers. Y1 (t) = Y2(t) = m 5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 11E
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(1 point) Consider the linear system
-3
-2
y.
3
a. Find the eigenvalues and eigenvectors for the coefficient matrix.
and X2
b. Find the real-valued solution to the initial value problem
— Зул — 2у2,
) = 4,
5y1 + 3y2,
y2 (0) = -10.
Use t as the independent variable in your answers.
Y1 (t) =
Y2(t) =
I|||
15
Transcribed Image Text:(1 point) Consider the linear system -3 -2 y. 3 a. Find the eigenvalues and eigenvectors for the coefficient matrix. and X2 b. Find the real-valued solution to the initial value problem — Зул — 2у2, ) = 4, 5y1 + 3y2, y2 (0) = -10. Use t as the independent variable in your answers. Y1 (t) = Y2(t) = I||| 15
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