3). For the following linear system of first order ODES dx 2x + 4y + 3z dt dy — 4х — 6у — 3г dt dz Зх + Зу + 2 dt i). Find eigen values of the coefficient matrix A of the system. ii). Find eigen vectors corresponding to the eigen values of A. iii). Diagonalize the matrix A, if possible. iv). Find the general solution of the given system.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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3). For the following linear system of first order ODES
dx
2x + 4y + 3z
dt
dy
— 4а — 6у — 32
%3D
dt
dz
Зх + Зу + 2
%3D
dt
i). Find eigen values of the coefficient matrix A of the system.
ii). Find eigen vectors corresponding to the eigen values of A.
iii). Diagonalize the matrix A, if possible.
iv). Find the general solution of the given system.
Transcribed Image Text:3). For the following linear system of first order ODES dx 2x + 4y + 3z dt dy — 4а — 6у — 32 %3D dt dz Зх + Зу + 2 %3D dt i). Find eigen values of the coefficient matrix A of the system. ii). Find eigen vectors corresponding to the eigen values of A. iii). Diagonalize the matrix A, if possible. iv). Find the general solution of the given system.
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