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PDF-Solution4.Sincejjx1jj=2wehaveu1=1 PDF document

2x1Theprojectionofx2ontothespacespannedbyu1isp1hx2u1iu12u1x1Thereforex2p1x2x11111TItslengthisjjx2p1jj2andsou21 21111TTheprojectionofx3onthespacespannedbyu1andu2isp2hx3u1iu1

2x1.Theprojectionofx2ontothespacespannedbyu1isp1=hx2;u1iu1=2u1=x1Thereforex2p1=x2x1=(1;1;1;1)T.Itslengthisjjx2p1jj=2andsou2=1 2(1;1;1;1)T.Theprojectionofx3onthespacespannedbyu1andu2isp2=hx3;u1iu1

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