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Why did the Mycenaean script fall out of use?

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Thematic map of Eurasia showing the approximate geographic distribution of Indo-European language families, each represented by a different color. Areas include Celtic in western Europe, Germanic in northern and central Europe, Romance in southwestern Europe, Slavic in eastern Europe and Russia, and Indo-Iranian languages in South Asia. Non-Indo-European language regions and areas of common bilingualism are also indicated. — Greek language Approximate locations of Indo-European languages in contemporary Eurasia.

The Mycenaean script, known as Linear B, fell out of use in the 12th century BCE when the Mycenaean palaces were destroyed, an event potentially linked to the Dorian invasions.3

Because the script was used exclusively for the economic administration of these palaces, its disappearance effectively ended the practice of this form of writing. Following the collapse of the palace-based bureaucratic system, the Greeks appear to have been illiterate for several centuries until they later adopted the Phoenician alphabet and adapted it to the needs of the Greek language.123