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We provide explicit expressions for two types of first order $q$-differencesystems for the Jackson integral of symmetric Selberg type. One is the$q$-difference system known to be the $q$-KZ equation and the other is the$q$-difference system for parameters different from the $q$-KZ equation. We usea basis of the systems introduced by Matsuo in his study of the $q$-KZequation. As a result, the similarity of these two systems is discussed byconcrete calculations. Intermediate calculations are made use of theRiemann-Hilbelt method for $q$-difference equation from connection matrixestablished by Aomoto.

Gauss decomposition and $q$-difference equations for Jackson integrals of symmetric Selberg type