Consider the linear system a. Find the eigenvalues and eigenvectors for the coefficient matrix. A₁ = b. Find the real-valued solution to the initial value problem [yí ly/₂ y₁ (t) = y₂(t) = = Use t as the independent variable in your answers. = ÿ' = = 3 -5 2 , and X₂ 3y1 + 2y2, -5y₁ - 3y2, = 15 y₁ (0) = -10, y2 (0) = 15. II

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