Question: Consider an initial value problem of differential equations: r' = 2x+3y-3z, y' = 4x +2y-4z, 2 = 4x+3y-5z, r(0) = -1, y(0) = 1,

Consider an initial value problem of differential equations: r' = 2x+3y-3z, y' = 4x +2y-4z, 2 = 4x+3y-5z, r(0) = -1, y(0) = 1, z(0) = 2. (a) Rewrite the initial value problem in matrix-vector form. 4 (b) Find r(t), y(t), and z(t).

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