Suppose u1, ....., up and v1,....., vq are vectors in a vector space V, and let H

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Suppose u1, ....., up and v1,....., vq are vectors in a vector space V, and let
H = Span {u1,.....,up} and K = Span {v1, ....... , vq}
Show that H + K = Span {u1,......,up, v1,......., vq}?
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