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

3.5.4 ([Ber14, Ex. 3.6.14]). Let T : V → W and S : W → U be linear 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

Expert Solution

Colby Messinger answered 2 years ago

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