Suppose that the linear system a111+ a122 + a211 + a2222 + ... +ain In +...

 

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Suppose that the linear system a111+ a122 + a211 + a2222 + ... +ain In + a2nIn : C1 C2 akı x1 +ak2Xk+ +aknin has a solution X; = (₁,...,n) for each c₁ = (c₁, c₂,..., ck) in (C₁,..., Cn}. Prove that the linear system has a solution x for each c in Span(C₁,..., Cn). Ck Suppose that the linear system a111+ a122 + a211 + a2222 + ... +ain In + a2nIn : C1 C2 akı x1 +ak2Xk+ +aknin has a solution X; = (₁,...,n) for each c₁ = (c₁, c₂,..., ck) in (C₁,..., Cn}. Prove that the linear system has a solution x for each c in Span(C₁,..., Cn). Ck

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To prove that the linear system has a solution for each c in Spanc c we need to show that any vector ... View the full answer