We deal with DAEs having a properly involved linear derivative term. The DAE is possibly rectangular comprising different numbers of equations and unknowns. A DAE not being regular is said to be nonregular. We touch on this topic just slightly and emphasize the scope of different interpretations by several case studies. The framework of sequences of admissible projector functions and associated projector functions applies in the same way as in Part I. We offer a generalization of the tractability index for the nonregular case. We further provide a projector based decoupling of linear DAEs and characterize consistency conditions and those components of the unknown which can be chosen arbitrarily.
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