Let B be a basis for a vector space V, let u 1 , . . .
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Let B be a basis for a vector space V, let u1, . . . , uk be vectors in V, and let c1, . . . , ck be scalars. Show that [c1u1 +.......+ ckuk]B = c1[u1]B +..... + ck[uk]B.
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