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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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Question

q7

The system can be rewritten as the matrix equation
4
6.
-3
y
Find the General Solution of the System of Differential Equations by
1. Finding the Eigenvalues for the matrix.
2. Find the 2 Eigenvectors of the matrix.
3. Use your Eigenvalues and Eigenvectors to write the General Solution of the System.
-3
(A)
cos
sin
cos
7.
+ sin
2
-3
(B
-3
cos
sin
+ C2e
+ sin
COS -t
y
2
C, e'
+
y
2
3
(D
-5t
+ C,e
y
E
61
+ C,e'
y
F)
-5r
+ C.
10
3.

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