Question: Suppose that during the first 2 weeks of a controversial art exhibit, the daily number of visitors to the gallery turns out to be the

Suppose that during the first 2 weeks of a controversial art exhibit, the daily number of visitors to the gallery turns out to be the sum of the numbers of visitors on the previous 3 days. We represent the numbers of visitors on 3 successive days by

п, = n+1 +2.

(a) Find the matrix M such that

n+1 MN =

(b) If the numbers of visitors on 3 successive days are given by

, = n+1 +2. n+1 MN = "42 n, +n+"+2-

Use M-1 to find the number of visitors 1 day earlier (before the 191-visitor day)?

, = n+1 +2. n+1 MN = "42 n, +n+"+2-

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