Let B be a basis for a vector space V, let u 1 , , u k be vectors in V, and let c 1 , , c k be scalars Show that c 1 u 1 c k u k B c 1 u 1 B c k u k B

Question: Let B be a basis for a vector space V, let u 1 , . . . , u k be vectors in V, and

Let B be a basis for a vector space V, let u₁, . . . , u_k be vectors in V, and let c₁, . . . , c_k be scalars. Show that [c₁u₁+.......+ c_ku_k]_B = c₁[u₁]_B +..... + c_k[u_k]_B.

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