Consider the linear system -3 = 5 a. Find the eigenvalues and eigenvectors for the coefficient matrix. λ₁ = v₁ = = b. Find the real-valued solution to the initial value problem Use t as the independent variable in your answers. y₁ (t) = y2(t) = and ₂ = = = -3y1 - 2y2, y₁ (0) = 0, = 5y1 + 3y2, y2 (0) = 5.

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