Let A = \(\left( {\begin{array}{*{20}{c}} 0&1&0\\ 0&0&1\\ 1&0&0 \end{array}} \right)\) and B = \(\left( {\begin{array}{*{20}{c}} 1&1&1\\ 1&1&1\\ 1&1&1 \end{array}} \right)\).

Then the set {n ∈ N | An + An+1 + An+2 = B} is

1
An empty set
2
A finite set
3
A proper infinite subset of N
4
Equal to N

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