UNIDAD 2: TAREA 2 - SISTEMAS DE ECUACIONES LINEALES, RECTAS RECTAS Y PLANOS
CÓDIGO 208046A_611 ÁLGEBRA LINEAL E – LEARNING
PRESENTADO A: ADE ALE!ANDRA LI RAMIRE" DIRECTOR#A$ DE CURSO
ENTREGADO POR: SAIR ALBERTO PINEDA GAMBOA SAMIR REINEL MIRANDA ACE%EDO ACE%EDO DIANA CATALINA LOPE" LEIDY ROCIO CORREA
GRUPO: 208046_88
UNI%ERSIDAD UNI%ERS IDAD NACIONAL NACION AL ABIERTA ABIERTA Y A DISTANCIA - UNAD ESCUELA DE CIENCIAS BÁSICAS TECNOLOG&A E INGENIER&A 201'
INTRODUCCIÓN
E()* )+./ (* +* *3 (* /( +5*)+/( *(*779/( *3 ;<, 7;=/ 3 *( *>;+ * +*39.* (/+* /( 7/37*)/( E3 *() ;399 (* 9*(++/+53 ( )*5)7( 9* O*+7/3*( *3)+* (()*( 9* *7;7/3*( 3**( +*7)( = 3/( *3 ;399 9/( 9* *()* 7;+(/ 7; +*)*39* ?;* /( *();93)*( +*7/3/73 ;3/( (*7)/( (* 7)/( ;39*3)*( + /+9+ /+9+ * *();9/ 9* * *+ + 3* 3* /+ /+ *()/ *()/ (* +*+*( +*+*(*3 *3) ) )+=* )+=*7) 7)/+ /+ 9* /( /( *.*+ *.*+7 77 7/( /( +57) +57)7 7/(@ /(@ E 3*3)/ 9* 77/( *3 ;399 II (* 73 /( )/9/( 9* (/;73 + *()/( (()*( /( (()*( 9* *7;7/3*( 3**( 7/3());=*3 ;3 3()+;*3)/ ;= /9*+/(/ + )+)+ 7/3 /( )/9/( 3**(@
OBJETIVO GENERAL M3*.+ 9* /+ 9*7;9 = *7 79 ;3/ 9* /( 7/37*)/( 9* (()*( 9* *7;7/3*( 3**( +*7)( = 3/(, )+>( 9* 9*(++// 9* ;3 (*+* 9* *.*+77/( +/;*()/(@
OBJETIVOS ESPECÍFICOS ► A3+
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EJERCICIO 1: Conceptua!"ac!#n $e %!%te&a% $e ecuac!one% !neae%' (ecta% ) pano%* D*(7+73 9* *.*+77/ 1: L;*/ 9* *+ *();99/ /( 7/3)*39/( 3979/(, +*(*3)* ;3 7/37*); ?;* ;()+* ;3/ 9* /( (;*3)*( 7/3)*39/( 9* ;399 2, ;)39/ + (; 7/3()+;773 *++*3) C)//( / ;3 /)+ (+ ?;* 7)* (; */+73@ D** 3/++ *3 * /+/ * )* **9/, + ?;* 3/ 7/379 7/3 **773 9* /)+/ 7/*+/@ L/( )*( ?;* ;*9*3 (*+ (**77/39/( (/3: $ F; *( ;3 (()* 9* *7;7/3*( 3**( = ?; 7/++*(/39*3 (;( >+*(, 7/*7*3)*( = >/+*( 39**39*3)*(@
-DESCRIPCIÓN DEL EJERCICIO + C/3(9*+* * (;*3)* +/*, 9*3 * (()* 9* *7;7/3*( 3**( ?;* * 9*(7+* = (/;73*/ /+ *9/ 9* ;3 +*9;773 9* G;((–/+93@ %9* (; +*(;)9/ /+ *9/ 9* G*/*+@ S* 9*(* /)*3*+ ;3 +*+9/ (*3 ?;* 7;+ ( 3*7*(99*( <3( 9* ;3 *+(/3 *3 +/)*<3(, 9+)/( 9* 7+/3/ = +((@ S;/3 ?;* * +*+9/ 9** 7/3)*3*+ ;3 *7 9* /( +/9;7)/( A, B = C 7;=/( 7/3)*39/( /+ /3( (/3 /( ?;* (* 3973 *3 (;*3)* ):
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EJERCIC ICIIO ,* APLI APLICA CACI CIÓN ÓN DE CO CONC NCEP EPT TOS DE RECT RECTAS AS EN R- EN LA SOLUCIÓN DE PROBLE0AS BSICOS* DESCRIPCIÓN EERCICIO 4@ D* D* 3 3 ( ( *7;7 *7;7/ /3*( 3*( >*7)/ >*7)/+ + *(, *(, + +) )+ +7 7(( = ( ()+ )+7 7(, (, 9* ( ( (; (;* *3) 3)*( *( +*7) +*7)( (,, = +;*( 7/3 =;9 9* G*/G*+ #; /)+( *++*3)( 7// S7, O7)>* / M)$: @ D* +*7) +*7) ?;* ?;* ( ( /+ /( /( ;3)/( ;3)/( P#-J P#-J,4,8 ,4,8$$ = F#2,, F#2,,$@ $@ S/;73: E7;73 %*7)/+ P #-J,4,8$ F #2,,$ D*)*+3+ >*7)/+ 9+*7)/+ > 9* PF > #2,,$ – #-J,4,8$ > #,1,-1$
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-Q – J – 40 -Q – J 0 Q – = 2J 0 -Q – J 0
@ D* +*7) ?;* ( /+ * ;3)/ R#-,4,-J$ = ?;* *( +* +*7) ?;* ( /+ /( ;3)/( A#-2,4,6$ = B#1,-J,$@ 7@ D* +*7) +*7) ?;* ( ( /+ * ;3)/ ;3)/ S#-',6,1 S#-',6,11$ 1$ = 7;=/ >*7)/+ >*7)/+ 9+*7)/+ 9+*7)/+ *( %#-2,,-6$@ %#-2,,-6$@ S/;73: E7;73 %*7)/+ S #-',6,11$ > #-2,,-6$ #Q,=,$ #-',6,11$ #-2,,-6$ E7;7/3*( P+)+7( Q -' - 2 = 6 11 – 6 E7;73 S)+7 D*(*./( * ;/(@ Q ' , = – 6, – 11 -2 -6 Q ' = – 6 – 11 -2 -6 Q'=–6 -2
Q 6J -2= 12 Q 2= 1 0 Q ' – 11 11 -2 -6 -6Q – 4 -2 22 -6Q 2 – 6 0 Q 2= 1 0 -6Q 2 – 6 0
EJERCICIO 2: Souc!one a% %!3u!ente% p(o.e&/t!ca% $e pano% en to(no a %u teo(4a ) 3(a546ueo% con a)u$a $e Geo3e.(a 7u ot(a% 8e((a&!enta% co&o Sc!a.' Octa9e o 0ata.: $ KS/3 KS/3 + +* */( /( /( (; (;* *3) 3)*( *( 3/( 3/( 1:JQ8=-J1 = 2:-1Q-40=1-W ;()?;* (; +*(;*() 7/3 * )/9/ ?;* 7/++*(/39@ G+?;* /( 3/(@
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EJERCICIO ;* SUSTENT SUSTENTACIÓN ACIÓN DE LA ACTIVIDAD EN VIDEO* C9 *();93)* 9** +*+ ;3 >9*/ ;= 7/+)/ #9* 2 3;)/( 5Q/$, *3 * 7; +*7 (;()*3)39/ /( (*7)/( 7>*( = */+73, 9* ;3/ 9* /( *.*+77/( 9* *() ;< 9* 7)>99 #9* /( ;3)/( 2 $ = ?;* 7/++*(/39 (/ )* (**77/39/ *3 * *.*+77/ 1@ N/ *( 3*7*(+/ ?;* *** 33;3 +/=*773 +/ =*773 + 7*+/, *+/ (< 9** +*7*+ * *();93)* +*39/ *Q773@
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REFERENCIAS BIBLIOGRAFICAS @ M*(, @, A+/, E@, Z *+3539*, S@ O@ #2012$@ I3)+/9;773 5*+ 3*@ B//)5, CO: E7/* E97/3*(@ D(/3* *3 B/)*7 %+); 9* UNAD@ P53( 68 '@ R*7;* R*7;*+9/ +9/
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