(8) Consider the system ( Yi = - 3 y , - Zyz (Yz = 6y, + 4yz a. Find the eigenvalues and associated elganvectors of the coefficient matrix. A = , and Az = 0. V2 51 b. Use the eigenvalue / eiganvector pairs from part (1 ) to find two linearly independant solutions of the system. Use t as the independent variable in your answers yo ( t ) = = and y ( + ) = C. Determine the solution to the systemn with initial Conditions y. ( 0 ) = - 9, yz ( 0 ) = 15 y. (t ) = Yz (t )