Delete Matrix rows with complex values

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Question:Delete Matrix rows with complex values

Posted: Ronan 1336 Product: Maple 18

May 16 2016

I wish to delete the rows that have imaginery components from my results Matrix. Have tried many variants of for loops etc.

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$Ans := Matrix(17, 15, {(1, 1) = `-`, (1, 2) = u0, (1, 3) = u1, (1, 4) = u2, (1, 5) = u3, (1, 6) = P*x, (1, 7) = Py, (1, 8) = Pz, (1, 9) = g0, (1, 10) = g1, (1, 11) = g2, (1, 12) = g3, (1, 13) = u^2, (1, 14) = g^2, (1, 15) = P, (2, 1) = 1, (2, 2) = -.516501806300516366332207827845271720295699875, (2, 3) = .157087667438024041386330713987768482051008262*I, (2, 4) = .113781789011852812312696505223578179747798329*I, (2, 5) = -.877979905726868500805204485093148911811362591, (2, 6) = -45.5583959992909648360043286735679679113587631, (2, 7) = -49.2104104577498887775211368820566392860712299, (2, 8) = -893.5067837*I, (2, 9) = -.866146675707479268632063873487527071333386044, (2, 10) = 0.392015486681650570173437868256055772345022977e-1*I, (2, 11) = -.1411657646*I, (2, 12) = .520820958366521078324036803446408915170112964, (2, 13) = .999999999999999999999999999999999999997268842, (2, 14) = .999999999999999999999999999999999999974976375, (2, 15) = 890.986610791943203054869284606448158021303178*I, (3, 1) = 0, (3, 2) = -.516501806300516366332207827845271720295699875, (3, 3) = -.1570876674*I, (3, 4) = -.1137817890*I, (3, 5) = -.877979905726868500805204485093148911811362591, (3, 6) = 0, (3, 7) = 0, (3, 8) = 0, (3, 9) = 0, (3, 10) = 0, (3, 11) = 0, (3, 12) = 0, (3, 13) = 0, (3, 14) = 0, (3, 15) = 0, (4, 1) = 2, (4, 2) = 1.37465842397864539997343521056744950913464373, (4, 3) = -.4720070715*I, (4, 4) = 1.04887251334709968989772260444378754238846281*I, (4, 5) = -.658208509656740520048240372814155977066034431, (4, 6) = -139.935858043713569770172241394940432701557933, (4, 7) = 1009.16689416507143999697715965318783801532828, (4, 8) = 35.050637050173061427545252165933711014164793*I, (4, 9) = -1.081758215*I, (4, 10) = -.805172606177376737844957657938233921696306905, (4, 11) = 1.28822588438750284892199202326992770781607054, (4, 12) = .370982506039653923963789326359229665746676298*I, (4, 13) = 1.00000000000000000000000000000000000000004448, (4, 14) = 1.00000000000000000000000000000000000002308483, (4, 15) = 1018.21968036744599747318369866423941656487034, (5, 1) = 0, (5, 2) = 1.37465842397864539997343521056744950913464373, (5, 3) = .472007071498869469711464480852290076392886818*I, (5, 4) = -1.048872513*I, (5, 5) = -.658208509656740520048240372814155977066034431, (5, 6) = 0, (5, 7) = 0, (5, 8) = 0, (5, 9) = 0, (5, 10) = 0, (5, 11) = 0, (5, 12) = 0, (5, 13) = 0, (5, 14) = 0, (5, 15) = 0, (6, 1) = 3, (6, 2) = .888607277416217966051928947403779522572804242, (6, 3) = -.106822611437208274601612056689973427508887756, (6, 4) = .227628951666705815052303897780904267397418654, (6, 5) = -.383602784885339918445575993340862111408067307, (6, 6) = -33.2619224164850716022540679651061384838837392, (6, 7) = -70.5221377558306752001316338827006032187340768, (6, 8) = 520.235208378859672763343647578296600919428272, (6, 9) = .403127155352863813666160452061241985268802920, (6, 10) = -.229875128453580499649930605383626391667210087, (6, 11) = -.249025243344440313757976839460134436215711022, (6, 12) = .850077849442508503270095108095866473994329709, (6, 13) = .999999999999999999999999999999999999999999990, (6, 14) = 1.00000000000000000000000000000000000000001494, (6, 15) = 526.046005054204528169704406776278260629227147, (7, 1) = 0, (7, 2) = .888607277416217966051928947403779522572804242, (7, 3) = .106822611437208274601612056689973427508887756, (7, 4) = -.227628951666705815052303897780904267397418654, (7, 5) = -.383602784885339918445575993340862111408067307, (7, 6) = 0, (7, 7) = 0, (7, 8) = 0, (7, 9) = 0, (7, 10) = 0, (7, 11) = 0, (7, 12) = 0, (7, 13) = 0, (7, 14) = 0, (7, 15) = 0, (8, 1) = 4, (8, 2) = .771395089635626888037058585282289072153672569, (8, 3) = -.251315638632409886572894533969222074089643996, (8, 4) = .494467079738422222368894560870844350373447897, (8, 5) = -.311917252680552965184041884461266972741091408, (8, 6) = -35.3773974809076144493333628813387306219066392, (8, 7) = -261.955262605587133808935304231369552994540307, (8, 8) = 267.817639506339708440220037786669249266668237, (8, 9) = .542590138401669145144489319765760630956089296, (8, 10) = -.207306657051038538831939399741694104211987188, (8, 11) = -.745192226522038608473536679495983480516139685, (8, 12) = .327579665398674149197429570862493923635921752, (8, 13) = 1.00000000000000000000000000000000000000000004, (8, 14) = 1.00000000000000000000000000000000000000000070, (8, 15) = 376.295638946336949362327994692547262453058894, (9, 1) = 0, (9, 2) = .771395089635626888037058585282289072153672569, (9, 3) = .251315638632409886572894533969222074089643996, (9, 4) = -.494467079738422222368894560870844350373447897, (9, 5) = -.311917252680552965184041884461266972741091408, (9, 6) = 0, (9, 7) = 0, (9, 8) = 0, (9, 9) = 0, (9, 10) = 0, (9, 11) = 0, (9, 12) = 0, (9, 13) = 0, (9, 14) = 0, (9, 15) = 0, (10, 1) = 5, (10, 2) = -.771395089635626888037058585282289072153672569, (10, 3) = -.251315638632409886572894533969222074089643996, (10, 4) = .494467079738422222368894560870844350373447897, (10, 5) = .311917252680552965184041884461266972741091408, (10, 6) = -35.3773974809076144493333628813387306219066392, (10, 7) = -261.955262605587133808935304231369552994540307, (10, 8) = -267.817639506339708440220037786669249266668237, (10, 9) = .542590138401669145144489319765760630956089296, (10, 10) = .207306657051038538831939399741694104211987188, (10, 11) = .745192226522038608473536679495983480516139685, (10, 12) = .327579665398674149197429570862493923635921752, (10, 13) = 1.00000000000000000000000000000000000000000004, (10, 14) = 1.00000000000000000000000000000000000000000070, (10, 15) = 376.295638946336949362327994692547262453058894, (11, 1) = 0, (11, 2) = -.771395089635626888037058585282289072153672569, (11, 3) = .251315638632409886572894533969222074089643996, (11, 4) = -.494467079738422222368894560870844350373447897, (11, 5) = .311917252680552965184041884461266972741091408, (11, 6) = 0, (11, 7) = 0, (11, 8) = 0, (11, 9) = 0, (11, 10) = 0, (11, 11) = 0, (11, 12) = 0, (11, 13) = 0, (11, 14) = 0, (11, 15) = 0, (12, 1) = 6, (12, 2) = -.888607277416217966051928947403779522572804242, (12, 3) = -.106822611437208274601612056689973427508887756, (12, 4) = .227628951666705815052303897780904267397418654, (12, 5) = .383602784885339918445575993340862111408067307, (12, 6) = -33.2619224164850716022540679651061384838837392, (12, 7) = -70.5221377558306752001316338827006032187340768, (12, 8) = -520.235208378859672763343647578296600919428272, (12, 9) = .403127155352863813666160452061241985268802920, (12, 10) = .229875128453580499649930605383626391667210087, (12, 11) = .249025243344440313757976839460134436215711022, (12, 12) = .850077849442508503270095108095866473994329709, (12, 13) = .999999999999999999999999999999999999999999990, (12, 14) = 1.00000000000000000000000000000000000000001494, (12, 15) = 526.046005054204528169704406776278260629227147, (13, 1) = 0, (13, 2) = -.888607277416217966051928947403779522572804242, (13, 3) = .106822611437208274601612056689973427508887756, (13, 4) = -.227628951666705815052303897780904267397418654, (13, 5) = .383602784885339918445575993340862111408067307, (13, 6) = 0, (13, 7) = 0, (13, 8) = 0, (13, 9) = 0, (13, 10) = 0, (13, 11) = 0, (13, 12) = 0, (13, 13) = 0, (13, 14) = 0, (13, 15) = 0, (14, 1) = 7, (14, 2) = -1.37465842397864539997343521056744950913464373, (14, 3) = -.4720070715*I, (14, 4) = 1.04887251334709968989772260444378754238846281*I, (14, 5) = .658208509656740520048240372814155977066034431, (14, 6) = -139.935858043713569770172241394940432701557933, (14, 7) = 1009.16689416507143999697715965318783801532828, (14, 8) = -35.05063705*I, (14, 9) = -1.081758215*I, (14, 10) = .805172606177376737844957657938233921696306905, (14, 11) = -1.28822588438750284892199202326992770781607054, (14, 12) = .370982506039653923963789326359229665746676298*I, (14, 13) = 1.00000000000000000000000000000000000000004448, (14, 14) = 1.00000000000000000000000000000000000002308483, (14, 15) = 1018.21968036744599747318369866423941656487034, (15, 1) = 0, (15, 2) = -1.37465842397864539997343521056744950913464373, (15, 3) = .472007071498869469711464480852290076392886818*I, (15, 4) = -1.048872513*I, (15, 5) = .658208509656740520048240372814155977066034431, (15, 6) = 0, (15, 7) = 0, (15, 8) = 0, (15, 9) = 0, (15, 10) = 0, (15, 11) = 0, (15, 12) = 0, (15, 13) = 0, (15, 14) = 0, (15, 15) = 0, (16, 1) = 8, (16, 2) = .516501806300516366332207827845271720295699875, (16, 3) = .157087667438024041386330713987768482051008262*I, (16, 4) = .113781789011852812312696505223578179747798329*I, (16, 5) = .877979905726868500805204485093148911811362591, (16, 6) = -45.5583959992909648360043286735679679113587631, (16, 7) = -49.2104104577498887775211368820566392860712299, (16, 8) = 893.506783720169698656724304667952267191687315*I, (16, 9) = -.866146675707479268632063873487527071333386044, (16, 10) = -0.3920154867e-1*I, (16, 11) = .141165764599481508540163197537118257205129796*I, (16, 12) = .520820958366521078324036803446408915170112964, (16, 13) = .999999999999999999999999999999999999997268842, (16, 14) = .999999999999999999999999999999999999974976375, (16, 15) = 890.986610791943203054869284606448158021303178*I, (17, 1) = 0, (17, 2) = .516501806300516366332207827845271720295699875, (17, 3) = -.1570876674*I, (17, 4) = -.1137817890*I, (17, 5) = .877979905726868500805204485093148911811362591, (17, 6) = 0, (17, 7) = 0, (17, 8) = 0, (17, 9) = 0, (17, 10) = 0, (17, 11) = 0, (17, 12) = 0, (17, 13) = 0, (17, 14) = 0, (17, 15) = 0})$

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Error, invalid argument sequence

$Matrix(17, 15, {(1, 1) = `-`, (1, 2) = u0, (1, 3) = u1, (1, 4) = u2, (1, 5) = u3, (1, 6) = P*x, (1, 7) = Py, (1, 8) = Pz, (1, 9) = g0, (1, 10) = g1, (1, 11) = g2, (1, 12) = g3, (1, 13) = u^2, (1, 14) = g^2, (1, 15) = P, (2, 1) = 1, (2, 2) = -.516501806300516366332207827845271720295699875, (2, 3) = .157087667438024041386330713987768482051008262*I, (2, 4) = .113781789011852812312696505223578179747798329*I, (2, 5) = -.877979905726868500805204485093148911811362591, (2, 6) = -45.5583959992909648360043286735679679113587631, (2, 7) = -49.2104104577498887775211368820566392860712299, (2, 8) = -893.5067837*I, (2, 9) = -.866146675707479268632063873487527071333386044, (2, 10) = 0.392015486681650570173437868256055772345022977e-1*I, (2, 11) = -.1411657646*I, (2, 12) = .520820958366521078324036803446408915170112964, (2, 13) = .999999999999999999999999999999999999997268842, (2, 14) = .999999999999999999999999999999999999974976375, (2, 15) = 890.986610791943203054869284606448158021303178*I, (3, 1) = 0, (3, 2) = -.516501806300516366332207827845271720295699875, (3, 3) = -.1570876674*I, (3, 4) = -.1137817890*I, (3, 5) = -.877979905726868500805204485093148911811362591, (3, 6) = 0, (3, 7) = 0, (3, 8) = 0, (3, 9) = 0, (3, 10) = 0, (3, 11) = 0, (3, 12) = 0, (3, 13) = 0, (3, 14) = 0, (3, 15) = 0, (4, 1) = 2, (4, 2) = 1.37465842397864539997343521056744950913464373, (4, 3) = -.4720070715*I, (4, 4) = 1.04887251334709968989772260444378754238846281*I, (4, 5) = -.658208509656740520048240372814155977066034431, (4, 6) = -139.935858043713569770172241394940432701557933, (4, 7) = 1009.16689416507143999697715965318783801532828, (4, 8) = 35.050637050173061427545252165933711014164793*I, (4, 9) = -1.081758215*I, (4, 10) = -.805172606177376737844957657938233921696306905, (4, 11) = 1.28822588438750284892199202326992770781607054, (4, 12) = .370982506039653923963789326359229665746676298*I, (4, 13) = 1.00000000000000000000000000000000000000004448, (4, 14) = 1.00000000000000000000000000000000000002308483, (4, 15) = 1018.21968036744599747318369866423941656487034, (5, 1) = 0, (5, 2) = 1.37465842397864539997343521056744950913464373, (5, 3) = .472007071498869469711464480852290076392886818*I, (5, 4) = -1.048872513*I, (5, 5) = -.658208509656740520048240372814155977066034431, (5, 6) = 0, (5, 7) = 0, (5, 8) = 0, (5, 9) = 0, (5, 10) = 0, (5, 11) = 0, (5, 12) = 0, (5, 13) = 0, (5, 14) = 0, (5, 15) = 0, (6, 1) = 3, (6, 2) = .888607277416217966051928947403779522572804242, (6, 3) = -.106822611437208274601612056689973427508887756, (6, 4) = .227628951666705815052303897780904267397418654, (6, 5) = -.383602784885339918445575993340862111408067307, (6, 6) = -33.2619224164850716022540679651061384838837392, (6, 7) = -70.5221377558306752001316338827006032187340768, (6, 8) = 520.235208378859672763343647578296600919428272, (6, 9) = .403127155352863813666160452061241985268802920, (6, 10) = -.229875128453580499649930605383626391667210087, (6, 11) = -.249025243344440313757976839460134436215711022, (6, 12) = .850077849442508503270095108095866473994329709, (6, 13) = .999999999999999999999999999999999999999999990, (6, 14) = 1.00000000000000000000000000000000000000001494, (6, 15) = 526.046005054204528169704406776278260629227147, (7, 1) = 0, (7, 2) = .888607277416217966051928947403779522572804242, (7, 3) = .106822611437208274601612056689973427508887756, (7, 4) = -.227628951666705815052303897780904267397418654, (7, 5) = -.383602784885339918445575993340862111408067307, (7, 6) = 0, (7, 7) = 0, (7, 8) = 0, (7, 9) = 0, (7, 10) = 0, (7, 11) = 0, (7, 12) = 0, (7, 13) = 0, (7, 14) = 0, (7, 15) = 0, (8, 1) = 4, (8, 2) = .771395089635626888037058585282289072153672569, (8, 3) = -.251315638632409886572894533969222074089643996, (8, 4) = .494467079738422222368894560870844350373447897, (8, 5) = -.311917252680552965184041884461266972741091408, (8, 6) = -35.3773974809076144493333628813387306219066392, (8, 7) = -261.955262605587133808935304231369552994540307, (8, 8) = 267.817639506339708440220037786669249266668237, (8, 9) = .542590138401669145144489319765760630956089296, (8, 10) = -.207306657051038538831939399741694104211987188, (8, 11) = -.745192226522038608473536679495983480516139685, (8, 12) = .327579665398674149197429570862493923635921752, (8, 13) = 1.00000000000000000000000000000000000000000004, (8, 14) = 1.00000000000000000000000000000000000000000070, (8, 15) = 376.295638946336949362327994692547262453058894, (9, 1) = 0, (9, 2) = .771395089635626888037058585282289072153672569, (9, 3) = .251315638632409886572894533969222074089643996, (9, 4) = -.494467079738422222368894560870844350373447897, (9, 5) = -.311917252680552965184041884461266972741091408, (9, 6) = 0, (9, 7) = 0, (9, 8) = 0, (9, 9) = 0, (9, 10) = 0, (9, 11) = 0, (9, 12) = 0, (9, 13) = 0, (9, 14) = 0, (9, 15) = 0, (10, 1) = 5, (10, 2) = -.771395089635626888037058585282289072153672569, (10, 3) = -.251315638632409886572894533969222074089643996, (10, 4) = .494467079738422222368894560870844350373447897, (10, 5) = .311917252680552965184041884461266972741091408, (10, 6) = -35.3773974809076144493333628813387306219066392, (10, 7) = -261.955262605587133808935304231369552994540307, (10, 8) = -267.817639506339708440220037786669249266668237, (10, 9) = .542590138401669145144489319765760630956089296, (10, 10) = .207306657051038538831939399741694104211987188, (10, 11) = .745192226522038608473536679495983480516139685, (10, 12) = .327579665398674149197429570862493923635921752, (10, 13) = 1.00000000000000000000000000000000000000000004, (10, 14) = 1.00000000000000000000000000000000000000000070, (10, 15) = 376.295638946336949362327994692547262453058894, (11, 1) = 0, (11, 2) = -.771395089635626888037058585282289072153672569, (11, 3) = .251315638632409886572894533969222074089643996, (11, 4) = -.494467079738422222368894560870844350373447897, (11, 5) = .311917252680552965184041884461266972741091408, (11, 6) = 0, (11, 7) = 0, (11, 8) = 0, (11, 9) = 0, (11, 10) = 0, (11, 11) = 0, (11, 12) = 0, (11, 13) = 0, (11, 14) = 0, (11, 15) = 0, (12, 1) = 6, (12, 2) = -.888607277416217966051928947403779522572804242, (12, 3) = -.106822611437208274601612056689973427508887756, (12, 4) = .227628951666705815052303897780904267397418654, (12, 5) = .383602784885339918445575993340862111408067307, (12, 6) = -33.2619224164850716022540679651061384838837392, (12, 7) = -70.5221377558306752001316338827006032187340768, (12, 8) = -520.235208378859672763343647578296600919428272, (12, 9) = .403127155352863813666160452061241985268802920, (12, 10) = .229875128453580499649930605383626391667210087, (12, 11) = .249025243344440313757976839460134436215711022, (12, 12) = .850077849442508503270095108095866473994329709, (12, 13) = .999999999999999999999999999999999999999999990, (12, 14) = 1.00000000000000000000000000000000000000001494, (12, 15) = 526.046005054204528169704406776278260629227147, (13, 1) = 0, (13, 2) = -.888607277416217966051928947403779522572804242, (13, 3) = .106822611437208274601612056689973427508887756, (13, 4) = -.227628951666705815052303897780904267397418654, (13, 5) = .383602784885339918445575993340862111408067307, (13, 6) = 0, (13, 7) = 0, (13, 8) = 0, (13, 9) = 0, (13, 10) = 0, (13, 11) = 0, (13, 12) = 0, (13, 13) = 0, (13, 14) = 0, (13, 15) = 0, (14, 1) = 7, (14, 2) = -1.37465842397864539997343521056744950913464373, (14, 3) = -.4720070715*I, (14, 4) = 1.04887251334709968989772260444378754238846281*I, (14, 5) = .658208509656740520048240372814155977066034431, (14, 6) = -139.935858043713569770172241394940432701557933, (14, 7) = 1009.16689416507143999697715965318783801532828, (14, 8) = -35.05063705*I, (14, 9) = -1.081758215*I, (14, 10) = .805172606177376737844957657938233921696306905, (14, 11) = -1.28822588438750284892199202326992770781607054, (14, 12) = .370982506039653923963789326359229665746676298*I, (14, 13) = 1.00000000000000000000000000000000000000004448, (14, 14) = 1.00000000000000000000000000000000000002308483, (14, 15) = 1018.21968036744599747318369866423941656487034, (15, 1) = 0, (15, 2) = -1.37465842397864539997343521056744950913464373, (15, 3) = .472007071498869469711464480852290076392886818*I, (15, 4) = -1.048872513*I, (15, 5) = .658208509656740520048240372814155977066034431, (15, 6) = 0, (15, 7) = 0, (15, 8) = 0, (15, 9) = 0, (15, 10) = 0, (15, 11) = 0, (15, 12) = 0, (15, 13) = 0, (15, 14) = 0, (15, 15) = 0, (16, 1) = 8, (16, 2) = .516501806300516366332207827845271720295699875, (16, 3) = .157087667438024041386330713987768482051008262*I, (16, 4) = .113781789011852812312696505223578179747798329*I, (16, 5) = .877979905726868500805204485093148911811362591, (16, 6) = -45.5583959992909648360043286735679679113587631, (16, 7) = -49.2104104577498887775211368820566392860712299, (16, 8) = 893.506783720169698656724304667952267191687315*I, (16, 9) = -.866146675707479268632063873487527071333386044, (16, 10) = -0.3920154867e-1*I, (16, 11) = .141165764599481508540163197537118257205129796*I, (16, 12) = .520820958366521078324036803446408915170112964, (16, 13) = .999999999999999999999999999999999999997268842, (16, 14) = .999999999999999999999999999999999999974976375, (16, 15) = 890.986610791943203054869284606448158021303178*I, (17, 1) = 0, (17, 2) = .516501806300516366332207827845271720295699875, (17, 3) = -.1570876674*I, (17, 4) = -.1137817890*I, (17, 5) = .877979905726868500805204485093148911811362591, (17, 6) = 0, (17, 7) = 0, (17, 8) = 0, (17, 9) = 0, (17, 10) = 0, (17, 11) = 0, (17, 12) = 0, (17, 13) = 0, (17, 14) = 0, (17, 15) = 0})$

(6)

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