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QUESTION
Let U, V and W be vector spaces on a field K. Let R: U V, S: V W and T: V W linear applications, and either a K. (i) Show that a (S + T) = aS + aT....
Let U, V and W be vector spaces on a field K. Let R: U → V, S: V → W and
T: V → W linear applications, and either a ∈ K.
(i) Show that a (S + T) = aS + aT.
(ii) Show that (S + T) R = S ◦ R + T ◦ R.
