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y^(')=[[(8)/(3),-1,-5//6,-1//6],[(2)/(3),1,-5//6,-1//6],[(2)/(3),0,1//6,-1//6],[(40)/(3),-4,-17//3,-4//3.]]Mow, we will find eigen valuas and eigenvectors by solving |A-lambda I|=0. solve the equation{:[lambda^(4)-(5)/(2)lambda^(3)+(5)/(2)lambda-1=0],[lambda_(1)=2","lambda_(2)=1","lambda_(3)=(1)/(2)"," ... See the full answer