Let V be a finite dimensional vector space over a field F, and let T be a linear operator on V. If R(T) n N(T)=0, show that V= R(T) "direct sum" N(T).
Given that V is a finite dimensional vector space over a field F. Also given that T is a linear operator
on V such that R T I N T 0 To show that V R T N T . For this first we show that V R T N T...
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