Question: Given v1, v2, v3,..., vk, and v, let U = span{v1, v2,..., vk} and W = span{v1,..., vk, v}. Show that either dim W =
U = span{v1, v2,..., vk} and
W = span{v1,..., vk, v}. Show that either dim W = dim U or dim W = 1 + dim U.
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