Understand that 'matrilineal' relates to societies where mothers' lineage is pivotal. The royal succession in that region is matrilineal.
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Not Matriarchal
'Matrilineal' is different from 'matriarchal', which means women lead the society. Their matrilineal system respects the mother's bloodline, but it's not a matriarchal community.
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Exclusive Inheritance
In 'matrilineal' lines, inheritance or titles are often exclusively through the female relatives. He inherited the family home through a matrilineal line, as his mother had no brothers.