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In terms of the random matrix theory, we simulate a non-Hermitian system inGaussian orthogonal ensemble. Starting from a Hermitian operator with twodistinct eigenvalues, we introduce the off-diagonal fluctuations through therandom eigenkets, and realizing the bipartite nature through two $8\times 8$subsystems, where one of them is full ranked, while the other is rankdeficient. For the latter subsystem, we verify the non-defective degeneracycontaining the non-linear symmetries, as well as the accumulation effect of thelinear map in adjacent eigenvectors. Experimently, we observe such effect in anon-reciprocal non-Hermitian linear circuit.

Non-defective degeneracy in non-Hermitian bipartite system and the realization in linear circuit