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In many aspects the method we are considering has difficulties for all general eigenvalue problems that can be solved by using the approximation method. For vector matrices such as $H_2(x_2^2, x_2^4)\otimes\sigma_2(x_1)$ defined with $ \sigma_4 \equiv x_2, x_4\equiv x_4 \neq 0, x_1\neq 0, x_2^2 \not=0.$ In this paper I would like to discuss this connection within the method which we are trying to develop. I have some references to provide the first two sections. However,