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PDF-(2)and(3)(plusthefactthattheidentityisorthogonal)canbesummarizedbysayi PDF document

basisfortheorthogonalplaneLPositivemeansdetujv1jv21Wetakeu1p 14123StartwithanybasisofofLsaybytrialanderrortakeanytwolivectorssatisfyingtheequationx12x23x30ofLw1301

basisfortheorthogonalplaneL?.`Positive'meansdet[ujv1jv2]=1.Wetakeu=(1=p 14)(1;2;3).StartwithanybasisofofL? say(by`trialanderror':takeanytwol.i.vectorssatisfyingtheequationx1+2x2+3x3=0ofL?):w1=(3;0;1)

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