Solve the initial value problem for the linear system a' = Ax in dimension 3, where %3D 7 -1 A= |1 -1 3 4 with x(0) = [3, 1, –3]". The characteristic polynomial of the matrix A equals p(A) = –(A – 6)²(A – 4).

Solve the initial value problem for the linear system a' = Ax in dimension 3, where %3D 7 -1 A= |1 -1 3 4 with x(0) = [3, 1, –3]". The characteristic polynomial of the matrix A equals p(A) = –(A – 6)²(A – 4).

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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Question

Solve the initial value problem for the linear system a' = Ax in dimension 3, where
%3D
7
-1
A= |1
-1
3
4
with x(0) = [3, 1, –3]". The characteristic polynomial of the matrix A equals p(A) = –(A – 6)²(A – 4).

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