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18 May 2023
Let T : U ? V and S : V ? W be linear mappings. Prove:
(a) If S is injective, then Ker(ST ) = Ker T .
(b) If T is surjective, then Im(ST ) = Im S.
Let T : U ? V and S : V ? W be linear mappings. Prove:
(a) If S is injective, then Ker(ST ) = Ker T .
(b) If T is surjective, then Im(ST ) = Im S.
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