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Since "almost all" (in the Lebesgue sense) matrices have multiplicity-free spectrum, you can use something like "general position" or "generic".
Alternatively, "multiplicity-free spectrum matrix" or "MFSM" couldscould also work.
Alternatively, "multiplicity-free spectrum matrix" or "MFSM" coulds also work.
Alternatively, "multiplicity-free spectrum matrix" or "MFSM" could also work.