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  3. 3.5.4 ([ber14, ex. 3.6.14]). let t : v ? w and s :

3.5.4 ([Ber14, Ex. 3.6.14]). Let T : V ? W and S : W ?...

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Advance Math

3.5.4 ([Ber14, Ex. 3.6.14]). Let T : V ? W and S : W ? U belinear maps, with V finite dimensional.

(a) If S is injective, then Ker ST = Ker T and rank(ST) =rank(T).

(b) If T is surjective, then Im ST = Im S and null(ST) ? null(S)= dim V ? dim W

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