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[1] (35 points) Solve the following Initial Value Problem 2x + 6y x - 3y with x(0) = -2 and y(0 1. [2] (30 points)

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[1] (35 points) Solve the following Initial Value Problem 2x + 6y x - 3y with x(0) = -2 and y(0 1. [2] (30 points) Find the inverse of the following matrix 2 1 2 3 2 4 1 1 3 using any method of your choice! [3] (40 points) Find the eigenvalues and corresponding eigenvectors of the matrix 2 8 4

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