Linear Span of the Conjugacy Class of a Matrix
نویسنده
چکیده
Let Mn be the vector space of all n × n-matrices over an algebraically closed field F of characteristic zero. We describe the linear span of the conjugacy class (with respect to the full linear group GLn) of an arbitrary matrix A ∈ Mn, and derive the existence of some particular bases of Mn. Moreover, we propose certain observations on finite sequences of nilpotent matrices and their linear spans. AMS Mathematics Subject Classification (2010): primary 15A03, secondary 14L35
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