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PDF-Example.WewillapplytheGram-Schmidtalgorithmtoorthonormalizethesetofvec

PDF-Example.WewillapplytheGram-Schmidtalgorithmtoorthonormalizethesetofvec

ju1j1 p 301111AStep2Letu2v2Proju1v2Proju1v2101111 12121201111A2 301111Au201011A2 301111A01323131Ae2u2 ju2j3 p 601323131A Step3Letu3v3Proju

j~u1j=1 p 30@1111A:Step2.Let~u2=~v2Proj~u1~v2Proj~u1~v2=(1;0;1):(1;1;1) 12+(1)2+120@1111A=2 30@1111A~u2=0@1011A2 30@1111A=0@1=32=31=31A~e2=~u2 j~u2j=3 p 60@1=32=31=31A: Step3.Let~u3=~v3Proj~u

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