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Mathematics, 03.03.2020 17:30 kmetz07
Given subspaces H and K of a vector space V, the sum of H and K, written as H+K, is the set of all vectors in V that can be written as the sum of two vectors, one in H and the other in K; that is, H+K={w:w=u+v for some u in H and some v in K}
a. Show that H+K is a subspace of V.
b. Show that H is a subspace of H+K and K is a subspace of H+K.
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Given subspaces H and K of a vector space V, the sum of H and K, written as H+K, is the set of all v...
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