Question: (8 points) Consider the linear system Co y = CO N y. 5 a. Find the eigenvalues and eigenvectors for the coefficient matrix. -3/5-(1/5) -3/5+(1/5)

(8 points) Consider the linear system Co y = CO N
(8 points) Consider the linear system Co y = CO N y. 5 a. Find the eigenvalues and eigenvectors for the coefficient matrix. -3/5-(1/5) -3/5+(1/5) A1 = 01 = , and 12 = -i , v2 = b. Find the real-valued solution to the initial value problem = 3y1 + 292, y1 (0) = 7, = -5y1 - 3y2, y2 (0) = -15. Use t as the independent variable in your answers. y1 (t ) = y2 ( t ) =

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