| #### D.15.23.4 diagonalizeVecFieldLin Procedure from library `VecField.lib` (see VecField_lib). Usage: diagonalizeVecFieldLin(list l), where l is a list of VecFields Return: list W of the same VecFields in new coords s.t. the linear parts are diagonal, all in the same coordinates Assume: All linear parts of the entries of l are simultaneously diagonalizable. Example:
    LIB "VecField.lib";
    ring r = 0, (x, y, z),ds;
    vector v = [-1,-1,-1];
    VecField V = v;
    V.precision = 4;
    map phi = r, x-2y2+z3,2y+y3+z,z;
    VecField W = changeCoordinates(V,phi);
    VecField X = [-2,1,0];
    list d = diagonalizeVecFieldLin(W,X);

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