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6 Nov 2019
Let V be the vector space of n times n matrices over the field F. Let A be a fixed n times n matrix. Let T be the linear operator on V defined by T(B) = AB. Show that the minimal polynomial for T is the minimal polynomial for A. Show transcribed image text
Let V be the vector space of n times n matrices over the field F. Let A be a fixed n times n matrix. Let T be the linear operator on V defined by T(B) = AB. Show that the minimal polynomial for T is the minimal polynomial for A.
Show transcribed image text