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3 ProofTrivialastheinverseofamatrixisuniqueseethesmallproofbelowthenAxbxA1bso8b2Rn9auniquesolutionxsuchthatAxbAsnpivotpositionsmeanstheremustbeauniquesolutiontherecanbenofreeva

3. Proof.Trivial-astheinverseofamatrixisunique(seethesmallproofbelow) thenA~x=~b()~x=A1~b so8~b2Rn;9auniquesolution~xsuchthatA~x=~b.Asnpivotpositionsmeanstheremustbeauniquesolution(therecanbenofreeva

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