Find a general solution of the system x'(t) = Ax(t) for the given matrix A. 12 -4 - 12 9 11 -4 -11 A = -7 4 Write the characteristic equation for the given matrix A.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find a general solution of the system x'(t) = Ax(t) for the given matrix A.
A =
12
-4
-7 4
11
- 12
9
-4 11
Write the characteristic equation for the given matrix A.
(Type an equation using r as the variable.)
Transcribed Image Text:Find a general solution of the system x'(t) = Ax(t) for the given matrix A. A = 12 -4 -7 4 11 - 12 9 -4 11 Write the characteristic equation for the given matrix A. (Type an equation using r as the variable.)
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