The coefficient matrices of the state equations in the dynamic system given by Equation 7.4 are [mathbf{A}=left[begin{array}{lll}1

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The coefficient matrices of the state equations in the dynamic system given by Equation 7.4 are

\[\mathbf{A}=\left[\begin{array}{lll}1 & 2 & 2 \\1 & 4 & 3 \\3 & 1 & 3\end{array}ight] \quad \mathbf{B}=\left[\begin{array}{l}1 \\0 \\1\end{array}ight] \quad\mathbf{C}=\left[\begin{array}{lll}2 & 1 & 1\end{array}ight]\]

Transform the system to state controllable canonical form.

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