Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Suppose V is a vector space. Let U, W be subspaces of V. Carefully show that the set U +W= {u+w[u EU, wEW} is a
subspace of V.
Let S = {V1,V2.Vk} be a linearly independent set in a vector space V and suppose u Espan(S). Show that there are
unique constants C1,C2..,C k such that u =C1Vi+C2V2+..+CkVk-
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Transcribed Image Text:Suppose V is a vector space. Let U, W be subspaces of V. Carefully show that the set U +W= {u+w[u EU, wEW} is a subspace of V. Let S = {V1,V2.Vk} be a linearly independent set in a vector space V and suppose u Espan(S). Show that there are unique constants C1,C2..,C k such that u =C1Vi+C2V2+..+CkVk-
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