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(Solved): Find the general solution of the system \( \mathbf{x}^{\prime}(\mathrm{t})=\mathbf{A} \mathbf{x}(\ ...
Find the general solution of the system \( \mathbf{x}^{\prime}(\mathrm{t})=\mathbf{A} \mathbf{x}(\mathrm{t}) \) for the given matrix \( \mathbf{A} \). \[ A=\left[\begin{array}{rrr} -1 & 1 & 0 \\ 1 & 6 & 1 \\ 0 & -11 & -1 \end{array}\right] \] \[ \mathbf{x}(\mathrm{t})= \]
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Given the system of equations is x?(t)=Ax(t) where A=[?1101610?11?1] The characteristic equation of the given matrix A is : |A??I|=0 |A??I|=[?1??1016?
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