In 17–20, use the generalized eigenvectors of A to find a

Chapter 9, Problem 17E

(choose chapter or problem)

In Problems $17-20$ , use the generalized eigenvectors of A to find a general solution to the system $x^{\prime}(t)=A x(t)$, where $A$ is given.

$A=\left[\begin{array}{rrr} 0 & 1 & 0 \\ 0 & 0 & 1 \\ -2 & -5 & -4 \end{array}\right]$

Equation Transcription:

$x'(t)=Ax(t)$

$A$

$A=$ [ ${\ }_{-2\ \ -5\ \ \ -4}^{{\ }_{\ \ \ 0\ \ \ \ \ \ 0\ \ \ \ \ \ \ \ \ 1}^{\ \ \ 0\ \ \ \ \ \ 1\ \ \ \ \ \ \ \ 0}}$ ]

Text Transcription:

x'(t)=Ax(t)

A=[ 0 1 0 \ 0 0 1 \ -2 -5 -4 ]

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