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Algebra & Trigonometry with Analytic Geometry

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 32E

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X, (+) = 4x, (+) + 2xz (t)
-
· X'₁₂ (+) = x, (+) + x 2 (+)
x(0) = 2
× 2 (0)=-4
(a) Write in Matrix/vector form with x(t) = (x: (+))
(b) Find eigenvalues and eigenvectors of the system.
(c) Write the general solution of the system.
(d) Find the particular solution and express
in component form: x, (+)
X 2 [+]

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