3 Each year, 20% of all untenured State University faculty become tenured, 5% quit, and 75% remain...

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3 Each year, 20% of all untenured State University faculty become tenured, 5% quit, and 75% remain untenured. Each year, 90% of all tenured S.U. faculty remain tenured and 10% quit. Let Ut be the number of untenured S.U. faculty at the beginning of year t, and Tt the tenured number.

Use matrix multiplication to relate the vector

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