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Q7 8 Points Let V, W, and U be three finite dimensional vector spaces over R and T:V + W and S : W + U be two linear transfor

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and Q.71. Let, V, W, U be also let dim V three finite dimensional vector spaces bi; n,m, þEN. dim u ท dim W m S T W U n m SoT

or, rank (SoT) rank (T) – dim (kers) ker (5) gykers n Im(T) so, dim (ker(s)) > rank (T) - N(S) > dim (her(s) nimeri or, rank

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