Consider the linear system 3 j' = -5 a. Find the eigenvalues and eigenvectors for the coefficient matrix. , and A2 = v2 = Find the real-valued solution to the initial value problem ул (0) — — 2, Y2(0) = 5. Зу1 + 2у2, -5y1 – 3y2, Use t as the independent variable in your answers. Y1(t) = Y2(t)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3BEXP
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7.3 4

Consider the linear system
21
Ý.
-3
-5
a. Find the eigenvalues and eigenvectors for the coefficient matrix.
1
v1 =
and A2
Find the real-valued solution to the initial value problem
3y1 + 2y2,
Y1(0) = –2,
— 5у1 — Зу2,
Y2(0) = 5.
-
Use t as the independent variable in your answers.
Y1(t)
Y2(t)
Transcribed Image Text:Consider the linear system 21 Ý. -3 -5 a. Find the eigenvalues and eigenvectors for the coefficient matrix. 1 v1 = and A2 Find the real-valued solution to the initial value problem 3y1 + 2y2, Y1(0) = –2, — 5у1 — Зу2, Y2(0) = 5. - Use t as the independent variable in your answers. Y1(t) Y2(t)
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