The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the eigenvalue method to find a general solution of the system $x_{1}^{?} = 5 x_{1} + x_{2} + 2 x_{3}, x_{2}^{?} = x_{1} + 6 x_{2} + x_{3}, x_{3}^{?} = 2 x_{1} + x_{2} + 5 x_{3}$ What is the general solution in matrix form? $x (t) =$

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The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the eigenvalue method to find a gene

The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the eigenvalue method to find a general solution of the system

x_{1}^{?} = 5 x_{1} + x_{2} + 2 x_{3}, x_{2}^{?} = x_{1} + 6 x_{2} + x_{3}, x_{3}^{?} = 2 x_{1} + x_{2} + 5 x_{3}

What is the general solution in matrix form?

x (t) =

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