For system matrices given as [ A=left[begin{array}{ccc} 2 & 1 & 1 2 & 3 &

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For system matrices given as

\[
A=\left[\begin{array}{ccc}
2 & 1 & 1 \\
2 & 3 & 4 \\
-1 & -1 & -2
\end{array}ight] \quad B=\left[\begin{array}{l}
1 \\
2 \\
1
\end{array}ight]
\]

design a state feedback controller \(K\) to place the poles of the system at \(s=-2,-5,-6\). Confirm the results using MATLAB.

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