Question: 22. If U, V are two vector spaces: dim (U) = n. and T E (U, V) , then prove that dim (U) = dim

22. If U, V are two vector spaces: dim (U) =

22. If U, V are two vector spaces: dim (U) = n. and T E (U, V) , then prove that dim (U) = dim (range (T)) + dim (ker (Tj) 2 rank (T) + nullity (T)

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