Question: Let L1 : U V and L2 : V W be linear transformations, and let L = L2 L1 be the mapping

Let L1 : U → V and L2 : V → W be linear transformations, and let L = L2 ° L1 be the mapping defined by
L(u) = L2(L,(u))
for each u ∈ U. Show that L is a linear transformation mapping U into W

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