Determine the general solution to the vector differential equation x '= Ax with A = [2030-40 -30 2] by using an eigenbasis. 31 Determine the general solution to the vector differential equation x' = Ax with A = 0 -4 0 2. -3

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A: We will prove the given statement.

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A: Given ordinary differential equation is 4xy''+3y'+3y=0

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A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…