ഊഊഊഊ ഊ ഊ ഊ Линейная зависимость векторов - задание №12ഊ ഊഊ ഊ
ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ
ഊ
ഊ Линейная зависимость векторов
ഊ
ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ
ഊ
ഊ Найдите базис данной конечной системы векторов и векторы, не входящие в базис, выразите через базисные векторы (двумя способами).
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12.01.

ഊ
ഊ 		= (1, 2, 0, 1),ഊ

= (3, 1, - 1, 0),

ഊ

= (2, - 1, 0, 2),

ഊ

= (1, 2, 1, 4),

ഊ

= (2, 4, - 1, - 1),

ഊ

= (0, 0, 1, 3)

ഊ 		ഊ
ഊ

12.02.

ഊ
ഊ 		= (1, 1, 1, - 1),ഊ

= (0, 1, 1, 1),

ഊ

= (1, 0, 0, - 2),

ഊ

= (- 1, - 3, - 3, - 1),

ഊ

= (1, - 1, - 1, - 2),

ഊ

= (3, 1, 1, - 5)

ഊ
ഊ
ഊ

12.03.

ഊ
ഊ 		= (1, 3, 2, - 3, - 2),ഊ

= (2, 8, 5, - 4, - 4),

ഊ

= (0, - 3, 4, 8, 0),

ഊ

= (-2, 3, 1, 16, 4),

ഊ

= (-1, 2, 2, 11, 2)

ഊ 		ഊ
ഊ

12.04.

ഊ
ഊ 		= (5, 2, - 1, 2, 1),ഊ

= (1, - 4, 3, 0, - 2),

ഊ

= (6, - 2, 2, 2, - 1),

ഊ

= (3, 0, - 1, 1, 4),

ഊ

= (4, - 4, 2, 1, 2)

ഊ
ഊ
ഊ

12.05.

ഊ
ഊ 		= (1, - 4, 1, - 2, - 3),ഊ

= (0, - 2, - 4, 2, - 2),

ഊ

= (3, - 11, 5, - 4, - 8),

ഊ

= (- 1, 3, - 3, 1, 2),

ഊ

= (1, - 1, 7, - 4, 0)

ഊ 		ഊ
ഊ

12.06.

ഊ
ഊ 		= (4, - 3, - 6, 0, 3),ഊ

= (3, 1, 4, 1, - 3),

ഊ

= (7, - 2, - 2, 1, 0),

ഊ

= (1, - 4, - 10, - 1, 6),

ഊ

= (- 6, - 2, - 8, - 2, - 6)

ഊ

ഊ
ഊ
ഊ

12.07.

ഊ
ഊ 		= (1, 3, - 4, 2, - 1),ഊ

= (2, 7, - 6, 1, - 1),

ഊ

= (- 1, - 1, 7, - 6, 1),

ഊ

= (1, 4, - 2, - 3, 2),

ഊ

= (- 1, - 1, 11, - 14, 9)

ഊ 		ഊ
ഊ

12.08.

ഊ
ഊ 		= (3, 2, 0, 1, 1),ഊ

= (2, 3, 4, 1, 0),

ഊ

= ( - 1, 1, 4, 0, - 1),

ഊ

= (5, 5, 4, 2, 1),

ഊ

= (3, 7, 12, 2, 1)

ഊ
ഊ
ഊ

12.09.

ഊ
ഊ 		=(2, 1, - 3, - 4),ഊ

= (4, - 2, 1, - 3),

ഊ

= (6, - 1, - 2, - 7),

ഊ

= (2,- 3, 4, 1),

ഊ

= (0, 4, - 7, - 5)

ഊ 		ഊ
ഊ

12.10.

ഊ
ഊ 		= (4, - 1, 2, 3),ഊ

= (3, 2, 6, - 5),

ഊ

= (7, 1, 8, - 2),

ഊ

= (1, - 3, - 4, 8),

ഊ

= (- 2, - 5, - 10, 7)

ഊ
ഊ
ഊ

12.11.

ഊ
ഊ 		= (7, 0, 3, - 2),ഊ

= (5, 2, - 4, 5),

ഊ

= (2, - 2, 7, - 7),

ഊ

= (9, - 2, 10, -1 ),

ഊ

= (- 3, - 4, 1 1, -12)

ഊ 		ഊ
ഊ

12.12.

ഊ
ഊ 		= (2, - 3, 1, 4),ഊ

= (3, 0, - 2, - 3),

ഊ

= (5, - 3, - 1, 1),

ഊ

= (-1, - 3, 3, 7),

ഊ

= (1, - 6, 4, 11)

ഊ
ഊ
ഊ

12.13.

ഊ
ഊ 		= (6, 0, 2, - 7, 3),ഊ

=(4, 1, 2, 4,- 2),

ഊ

= (5, 2, 0, - 3, 1),

ഊ

= (2, -1, 0, - 11, 5),

ഊ

= (1, - 2, 2, - 4, 2)

ഊ 		ഊ
ഊ

12.14.

ഊ
ഊ 		= (1, 2, 0, - 3, 2),ഊ

= (4, 3, - 2, 3, 4),

ഊ

= (3, 1, - 2, 6, 2),

ഊ

= (5, 5, - 2, 0, 6),

ഊ

= (1, - 3, - 2, 12, - 2)

ഊ
ഊ
ഊ

12.15.

ഊ
ഊ 		= (2, 1, 3, - 4, 1);ഊ

= (3, 2, 4, 0, - 3);

ഊ

= (1, 1, 1, 4, - 4);

ഊ

= (4, 3, 5, 4, - 7).

ഊ 		ഊ
ഊ

12.16.

ഊ
ഊ 		= (2, 3, 0,- 2, - 3, 1) ;ഊ

= (3, 5, 2, 4, 5, 3);

ഊ

= (1, 2, 2, 6, 8, 2);

ഊ

= (4, 7, 4, 10, 13, 5).

ഊ
ഊ
ഊ

12.19.

ഊ
ഊ 		= (- 3, 2, 1, 5);ഊ

= (4, 1, 3, - 4);

ഊ

= (1, 3, 4, 1);

ഊ

=( 7, - 1, 2, - 9);

ഊ

= (- 2, 5, 5, 6).

ഊ 		ഊ
ഊ

12.20.

ഊ
ഊ 		= (2, 3, - 4, 1);ഊ

= (4, 1, 0, 1);

ഊ

= (1, - 2, 1, - 2);

ഊ

= (1, 5, - 5, 3);

ഊ

= (3, 3, - 1, 3).

ഊ
ഊ
ഊ

12.21.

ഊ
ഊ 		= (1, - 4, 2, 3, 5);ഊ

= (2, 6, 3, - 1, 4);

ഊ

= (1, 10, 1, - 4, -1);

ഊ

= (3, 2, 5, 2, 9).

ഊ 		ഊ
ഊ

12.22.

ഊ
ഊ 		= (1, - 3, 2, - 4, 2, 1);ഊ

= (3, 2, - 2, 3, 4, 0);

ഊ

= (4, - 1, 0, - 1, 6, 1);

ഊ

= (2, 5, - 4, 7, 2, - 1).

ഊ
ഊ
ഊ

12.23.

ഊ
ഊ 		= (1, 3, - 2, 5);ഊ

= (2, 4, - 2, 0);

ഊ

= (4, - 3, 1, - 3);

ഊ

= (3, 7, - 4, 5);

ഊ

= (5, 0, - 1, 2);

ഊ

= (6, 1, - 1, - 3).

ഊ 		ഊ
ഊ

12.24.

ഊ
ഊ 		= (1, 5, - 3, 2);ഊ

= (2, 1, - 2, - 1);

ഊ

= (3, 6, - 5, 1);

ഊ

= (1, - 4, 1, - 3);

ഊ

= (3, 2, 0, - 1);

ഊ

= (4, 7, - 3, 1).

ഊ
ഊ
ഊ

12.25.

ഊ
ഊ 		= (1, 2, - 5, - 1, 1);ഊ

= (1, 4, 3, 2, - 4);

ഊ

= (2, 6, - 2, 1, - 3);

ഊ

= (3, 10, 1, 3, - 7);

ഊ

= (0, - 2, - 8, - 3, 5).

ഊ 		ഊ
ഊ

12.26.

ഊ
ഊ 		= (1, - 2, - 2, 4, -1);ഊ

= (2, 4, -1, 0, 1);

ഊ

= (3, 2, 1, 4, - 2);

ഊ

= (5, 6, 0, 4, 1);

ഊ

= (-1, - б, 3, 4, - 4).

ഊ
ഊ
ഊ

12.27.

ഊ
ഊ 		= (1, 2, - 3, 6);ഊ

= (2, 3, - 4, 1);

ഊ

. = (1, 1, - 1, - 5);

ഊ

= (3, 5, - 7, 7);

ഊ

= (0, 1, 2, - 11).

ഊ 		ഊ
ഊ

12.28.

ഊ
ഊ 		= (1, - 3, - 4, - 2);ഊ

= (3, - 2, 0, 1);

ഊ

= (2, - 2, - 1, 1);

ഊ

= (2, 1, 4, 3);

ഊ

= (1, 0, 1, 0).

ഊ
ഊ
ഊ

12.29.

ഊ
ഊ 		= (2, - 3, - 1, 4, 1);ഊ

= (1, 5, 3, - 7, 1);

ഊ

= (3, 2, 2, - 3, 2);

ഊ

= (5, - 1, 1, 1, 3);

ഊ

= (0, - 13, - 7, 18, - 1).

ഊ 		ഊ
ഊ

12.30.

ഊ
ഊ 		= (1, 3, - 7, 1, 2);ഊ

= (2, 1, 5, - 1, - 3);

ഊ

= (3, 4, - 2, 0, - 1);

ഊ

= (4, 7, - 9, 1, 1);

ഊ

= (0, - 5, 19, - 3, - 7).

ഊ
ഊ
ഊ

12.31.

ഊ
ഊ 		= (1, 2, 3, - 2, 1);ഊ

= (2, - 1, - 2, 3, - 2);

ഊ

= (3, 1, 1, 1, - 1);

ഊ

= (1, - 3, - 5, 5, - 3).

ഊ 		ഊ
ഊ

12.32.

ഊ
ഊ 		= (2, - 3, - 4, 2, - 6, 0);ഊ

= (3, 2, 3, 0, 5, 2);

ഊ

= (5, - 1, - 1, 2, - 1, 2);

ഊ

= (1, 5, 7, - 2, 11, 2).

ഊ
ഊ
ഊ

12.33.

ഊ
ഊ 		= (4, 1, 0, 2, - 3);ഊ

= (3, 0, 2, 1, 2);

ഊ

= (7, 1, 2, 3, - 1);

ഊ

= (1, 1, - 2, 1, - 5);

ഊ

= (2, - 1, 4, 0, 7).

ഊ 		ഊ
ഊ

12.34.

ഊ
ഊ 		= (- 3, 2, 1, 0, - 4);ഊ

= (4, - 3, 2, 1, 3);

ഊ

= (1, - 5, 1, 1, 7);

ഊ

= (5, - 4, 5, 2, 2);

ഊ

= (2, - 3, 2, 1, 3).

ഊ
ഊ
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ഊ ഊഊ㰡ⴭ⁧潯杬攠慮慬楳琠ⴭ㸍਼獣物灴㸍ਠ
晵湣瑩潮⡩ⱳⱯⱧⱲⱡⱭ⥻楛❇潯杬敁湡汹瑩捳佢橥捴❝㵲㭩孲崽楛牝籼晵湣瑩潮⠩笍ਠ
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摯捵浥湴⹧整䕬敭敮瑂祉搠㼠瑲略›⁦慬獥⤻ഊ癡爠楳䥅㐠㴠⠨摯捵浥湴⹡汬…☠Ⅹ獄位⤠㼠瑲略›⁦慬獥⤻ഊ癡爠楳乓㐠㴠⡤潣畭敮琮污祥牳‿⁴牵攠㨠晡汳攩㬍੶慲⁩獎匠㴠湡癩条瑯爮慰灎慭攠㴽•乥瑳捡灥∻ഊഊ晵湣瑩潮⁧整剥昨楤⤠笍ਉ楦
楳䑏䴩⁲整畲渠摯捵浥湴⹧整䕬敭敮瑂祉搨楤⤻ഊ३映⡩獉䔴⤠牥瑵牮⁤潣畭敮琮慬汛楤崻ഊ३映⡩獎匴⤠牥瑵牮⁤潣畭敮琮污祥牳孩摝㬍੽ഊഊ晵湣瑩潮潶敒楧桴䕤来⠩⁻ഊॶ慲⁹䵥湵䙲潭Ⱐ祍敮畔漬⁹佦晳整Ⱐ瑩浥潵瑎數瑃桥捫※ഊഊഊ३映⡩獎匴⤠笍ਉॹ䵥湵䙲潭†‽⁤楶䵥湵⹴潰㬍ਉॹ䵥湵呯††‽⁷楮摯睳⹰慧教佦晳整‫‱㌷㬠‍ਉ素敬獥⁩映⡩獄位⤠笍ਉॹ䵥湵䙲潭†‽⁰慲獥䥮琠⡤楶䵥湵⹳瑹汥⹴潰Ⱐ㄰⤻ഊउ祍敮畔漠††㴠⡩獎匠㼠睩湤潷⹰慧教佦晳整›⁤潣畭敮琮扯摹⹳捲潬汔潰⤠⬠㈰㬠 ⽓灥捩晹⁴桥⁤楳瑡湣攠潦⁴桥†䙬潡瑩湧⁏扪散琠晲潭⁴潰⸍ਉ納ਉ瑩浥潵瑎數瑃桥捫‽‵〻ഊഊ३映⡹䵥湵䙲潭‡㴠祍敮畔漩⁻ഊउ祏晦獥琠㴠䵡瑨⹣敩氨䵡瑨⹡扳⡹䵥湵呯‭⁹䵥湵䙲潭⤠⼠㈰⤻⼯印散楦礠瑨攠晬潡瑩湧⁓灥敤⁨楧栽〬獬潷㴵〰⸠整挠ഊउ楦
祍敮畔漠㰠祍敮畆牯洩ഊउॹ佦晳整‽‭祏晦獥琻ഊउ楦
楳乓㐩ഊउ।楶䵥湵⹴潰‫㴠祏晦獥琻ഊउ敬獥⁩映⡩獄位⤍ਉउ摩癍敮甮獴祬攮汥晴‽†㈰㬯⽓灥捩晩敳⁴桥⁤楳瑡湣攠潦⁴桥⁦汯慴楮朠潢橥捴⁦牯洠汥晴⸠ഊउऍਉउ摩癍敮甮獴祬攮瑯瀠㴠灡牳敉湴
摩癍敮甮獴祬攮瑯瀬‱〩‫⁹佦晳整㬍ਉउ瑩浥潵瑎數瑃桥捫‽‰㬠⼯印散楦楥猠瑨攠獰敥搠潦⁲敡捴楯渠⸍ਉ納ਉ獥瑔業敯畴
≭潶敒楧桴䕤来⠩∬⁴業敯畴乥硴䍨散欩㬍੽ഊഊ楦
楳乓㐩⁻ഊॶ慲⁤楶䵥湵‽⁤潣畭敮瑛≤楶䵥湵≝㬍ਉ摩癍敮甮瑯瀠㴠瑯瀮灡来奏晦獥琠⬠〻ഊ।楶䵥湵⹶楳楢楬楴礠㴠≶楳楢汥∻ഊ७潶敒楧桴䕤来⠩㬍੽⁥汳攠楦
楳䑏䴩⁻ഊॶ慲⁤楶䵥湵‽⁧整剥昨❤楶䵥湵✩㬍ਉ摩癍敮甮獴祬攮瑯瀠㴠⡩獎匠㼠睩湤潷⹰慧教佦晳整›⁤潣畭敮琮扯摹⹳捲潬汔潰⤠⬠〻ഊ।楶䵥湵⹳瑹汥⹶楳楢楬楴礠㴠≶楳楢汥∻ഊ७潶敒楧桴䕤来⠩㬍੽ഊഊ†††††††㰯千剉偔㸍਼ℭⴠ탠⃽⁨敡搠ﯢ裡扯摹‭ⴾഊ㱳捲楰琠瑹灥㴢瑥硴⽪慶慳捲楰琢⁳牣㴢桴瑰猺⼯慰楳⹧潯杬攮捯洯橳⽰汵獯湥⹪猢㸍ਠ⁻污湧㨠❲甧納਼⽳捲楰琾ഊഊ㰡ⴭ⃐ﷲ⃲⃢⃲⃬Ⱐ⃮ﳱ＠‫ㄠⴭ㸍਼机灬畳潮攠獩穥㴢浥摩畭∾㰯机灬畳潮放‍਼⽈呍䰾ഊഊഊ