Mark each statement True or False (T F) Justify each answer A convex combination of points v 1 v 2 , ,v k in R n is a linear combination of the form c 1 v 1 c 2 v 2 c k v k such that c 1 c 2 c k 1 and c i 0 for all i

Question: Mark each statement True or False (T/F). Justify each answer. A convex combination of points {v 1 ; v 2 ,.............,v k } in R

Mark each statement True or False (T/F). Justify each answer.

A convex combination of points {v₁; v₂,.............,v_k} in Rⁿis a linear combination of the form c₁v₁ + c₂v₂+..........+ c_kv_ksuch that c₁+ c₂+ c_k = 1 and c_i≥ 0 for all i .

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