Consider the Initial Value Problem: (a) Find the eigenvalues and eigenvectors for the coefficient matrix. 181 I2 A₁ || x₁ = x₂ = v1 -3x₁ + 3x₂ -6x₁+3x₂¹ (b) Solve the initial value problem. Give your solution in real form. #1 *1(0) T2(0) = , and X₂ = = 2 7 16 =
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