7.27 Consider the system 4 0 -1 -4 0 x+ u. 5 7 1 15 03 -3 (a) Find the eigenvalues of this system. (Hìnt: Note the block-triangular structure of A.) (b) Find the controllable and uncontrollable modes of this system.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
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Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
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7.27 Consider the system
4 0
-1 -4 0
x+
u.
5
7
1
15
03 -3
(a) Find the eigenvalues of this system. (Hìnt: Note the block-triangular
structure of A.)
(b) Find the controllable and uncontrollable modes of this system.
Transcribed Image Text:7.27 Consider the system 4 0 -1 -4 0 x+ u. 5 7 1 15 03 -3 (a) Find the eigenvalues of this system. (Hìnt: Note the block-triangular structure of A.) (b) Find the controllable and uncontrollable modes of this system.
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