Question: Please help me with this HW problem and steps. Thanks! If my matrix contributes eigenvalue 1 - 3 + 4i with corresponding eigenvector v U

Please help me with this HW problem and steps. Thanks!

If my matrix contributes eigenvalue 1 - 3 + 4i with corresponding eigenvector v U = 2, 1] . What are the two basis solutions? O x 1 - est [- sin(4t), cos(4t) ], 2 - e3t [cos(4t), sin(4t) ], O x 1 = ett [- sin(3t), cos(3t)], x 2 - ett [cos(3t), sin(3t) ], O T1 = e3t [- sin(4t), sin(4t) ], I 2 - e3t [cos(4t), cos(4t) ]

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