Question: Let L1: V V and L2: V V be linear transformations on a vector space V. Prove that (L1 +L2)2 = L2 +

Let L1: V → V and L2: V → V be linear transformations on a vector space V. Prove that
(L1 +L2)2 = L2 + 2L1 o L2 + L22
if and only if L1 o L2 = L2 o L1.

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