Consider the following system. dx — х + у — Z dt dy = 6y dt dz = y - Z dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) 6,1, – 1 | Find an...

Extracted text: Consider the following system. dx — х + у — Z dt dy = 6y dt dz = y - Z dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) 6,1, – 1 | Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) %D K2 K3 Find the general solution of the given system. + cze+ + 6cze®f;35cge,2cze¬ -t (x(t), y(t), z(t) =| c,e'-