  We extend our previous result on the behavior of the quadratic part of a
complex points of a small $\mathcal{C}^{2}$-perturbation of a real $4$-manifold
embedded in a complex $3$-manifold. We describe the change of the structure of
a normal form of a complex point. It is an immediate consequence of a theorem
clarifying how small perturbations can change the bundle of a pair of one
arbitrary and one symmetric $2\times 2$ matrix with respect to an action of a
certain linear group.
