matrilineally

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mat·ri·lin·e·al

M0153100 (măt′rə-lĭn′ē-əl)adj. Relating to, based on, or tracing ancestral descent through the maternal line.
mat′ri·lin′e·al·ly adv.
Thesaurus
Adv.1.matrilineally - by descent through the female linematrilineally - by descent through the female line