Dynamics of tuples of matrices
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In this article we answer a question raised by N. Feldman in 2008 concerning the dynamics of tuples of operators on ℝn. In particular, we prove that for every positive integer n ≥ 2 there exist n-tuples (A1,A2,...,An) of n × n matrices over ℝ such that (A1,A2,...,An) is hypercyclic. We also establish related results for tuples of 2 × 2 matrices over ℝ or ℂ being in Jordan form.