First some definition must be done:

Reciprocal Networks:

Two networks and are reciprocal to each other if their
transimpedances have the following relation:

(5.1) |

That means: Drive the current into node of circuit and at node the voltage appears. In circuit it is just the way around.

Adjoint Networks:

Network and network are adjoint to each other if the following
equation holds for their MNA matrices:

(5.2) |

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