Let T: U V be linear. Prove that dim ker(T) + dim range{T) = dim domain(T) (a) when
Chapter 4, Problem 18(choose chapter or problem)
Let T: U V be linear. Prove that dim ker(T) + dim range{T) = dim domain(T) (a) when ker(T) = 0 (b) when ker(T) = U These were the special cases mentioned in the proof of the Rank/Nullity theorem.
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