PDF-STEREOGRAPHICPROJECTIONISCONFORMALLetS2=f(x;y;z)2R3:x2+y2+z2=1gbetheun
Author : min-jolicoeur | Published Date : 2015-11-02
Figure1StereographicprojectionTheformulaforstereographicprojectionisxyzxiy 1zIndeedthepoint1tntxyzhaslastcoordinate1ttzThisequals0fort11zmakingtheothercoordinatesx1zand
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STEREOGRAPHICPROJECTIONISCONFORMALLetS2=f(x;y;z)2R3:x2+y2+z2=1gbetheun: Transcript
Figure1StereographicprojectionTheformulaforstereographicprojectionisxyzxiy 1zIndeedthepoint1tntxyzhaslastcoordinate1ttzThisequals0fort11zmakingtheothercoordinatesx1zand. NULLSPACEANDNULLITY2UsingjustA;weuserowopsto ndreducedrowechelonform:211001001 2042003111 2122002112 413?R3 4R1!R3R4 R1!R4R5 2R1!R5R6 R1!R62110010 200 1001 20001 2000000002 403?R4 R3!R4R6 2R3!R6211001 2Solution:LetUbeasubspaceofaf.dvectorspaceVandspan(v1;v2;vn)=V.UbeingasubspaceofViscontainedinspan(v1;v2;vn).Basisisalwayssmallerthanaspanningsetinlength,dim(U)n.SoUis
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