Lineaarialgebra

Lineaarialgebra: suora U aliavaruutena


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$SBSxyy ShowButton( 0,200,'Show segments')($x,$Sx,$y,$Sy,$xoy,$Sxoy)[magenta]; $HBSxyy HideButton( 0,180,'Hide segments')( $Sx, $Sy, $Sxoy)[magenta]; $anim1 Point on object($RL,-4)[cyan]; $anim2 Point on object($RL, 4)[cyan]; $Sanim Segment($anim2,$anim1)[hidden]; $ABc AnimateButton(250,60,'Animate scalar c')($Rnumc,$Sanim)(2)(0)(0)[black]; $cx_a Dilation/3PtRatio($x_a,$O,$RO,$Rykk,$Rnumc)[hidden]; $Scx_a Segment($O,$cx_a)[color(30,160,225),hidden]; $cx VectorTranslation($cx_a,$O,$a)[red,label('c*x')]; $Scx Segment($O,$cx)[red,thick]; $Sx2 Segment($O,$x)[red,thick]; $SBSc ShowButton(400,200,'Show segments')($x,$Sx2,$cx,$Scx)[red]; $HBSc HideButton(400,180,'Hide segments')( $Sx2, $Scx)[red]; $Scxcx_a Segment($cx,$cx_a)[color(30,160,225),hidden]; $Sacx Segment($a,$cx)[blue,hidden]; ${ $SBy ShowButton(400,60,'Show y')($y)[blue,hidden]; $HBy HideButton(400,20,'Hide y')($y,$Sy)[blue,hidden]; $} $SBcx ShowButton(250, 40,'Show c*x')($x,$cx,$Sx2,$Scx)[red]; $HBcx HideButton(250, 80,'Hide c*x')( $cx,$Sx2,$Scx)[red]; $verta Parallel($vert,$a)[color(12,171,3),hidden]; $hora Parallel($hor, $a)[color(12,171,3),hidden]; $SBOC ShowButton( 0,330,'Show original construction')($x_a,$Sxx_a,$Sx_a,$cx_a,$Scx_a,$Scxcx_a,$xply,$Sxxply,$Syxply,$Sxplyxoy)[thick,color(30,160,225),hidden]; $HBOC HideButton( 0,350,'Hide original construction')($x_a,$Sxx_a,$Sx_a,$cx_a,$Scx_a,$Scxcx_a,$xply,$Sxxply,$Syxply,$Sxplyxoy)[color(30,160,225),hidden]; $SBO ShowButton( 0,310,'Show axis system in 0')($O,$ykk,$vertsh,$hor,$Sy,$Sx,$Sxoy,$Scx)[black,hidden]; $HBO HideButton( 0,250,'Hide axis system in 0')($ykk,$vertsh,$hor,$Sy,$Sx,$Sxoy,$Scx)[black,hidden]; $SBaxisa ShowButton( 0,270,'Show other axis system')($a,$Sa,$hora,$verta)[thick,color(12,171,3),hidden]; $HBaxisa HideButton(120,270,'Hide')($a,$Sa,$hora,$verta)[color(12,171,3),hidden]; $SBV ShowButton( 0,290,'Show virtual structure')($a,$Say,$Syxoy,$Saxoy,$Sxxoy,$Say,$Sacx)[thick,color(12,171,3),hidden]; $HBV HideButton(120,290,'Hide')($a,$Say,$Syxoy,$Saxoy,$Sxxoy,$Say,$Sacx)[color(12,171,3),hidden]; ${ $SBOper ShowButton(100, 0,'SHOW OPERATIONS')($x,$y,$xoy,$cx)[black,thick,hidden]; $HBOper HideButton(250, 0,'Hide operations')($xoy,$Sxoy,$cx,$Scx)[black,hidden]; $}
Oheisessa dynaamisessa kuviossa voi liikutella hiirellä pisteitä (vektoreita) x ja y sekä skalaaria c. Myös animointinappulat saavat aikaan liikettä.

Kun vektorit ovat suoralla, ovat myös tulokset siellä!




Martti.Pesonen@Joensuu.Fi 2003