-
8/18/2019 Guia 3 Algebra3 Aprendizaje Unidad4 Algiii Teoria Determinante
1/12
!" #$%&'&(&)*+ '$ %-+.+/&
! "# $%&'()' $*+,()' #, ,-' $'./(/+0 #%- &%(&'1)%- ('&'-,+/%- 1,+, '# $'-,++%##% $' #, 2*3,4 5,+,
#% &*,# '- /61+'-&/($/7#' 8*' '# '-)*$/,()' ,(,#/&' #, )'%+3, &%( ,()'+/%+/$,$ 1,+, .,&/#/),+ '#1+%&'-% '(-'9,(:,;,1+'($/:, '-)*$/,()'- ?$'1'($/'($% $'# (@6'+% $'
'-)*$/,()'- 1%+ &*+-%A 1,+, $'-,++%##,+ #,- ,&)/B/$,$'- $' #, 2*3, 1+%1*'-),
0" -$1*2*34 '$ (&2 5&45$6%&2 '$2+--&((+'&2 $4 (+ 5(+2$ %$3-*5+
0"!7'898:;=98
C,$, *(, 6,)+/: &*,$+,$,
*42%*%?%& '$ 5*$45*+2 @A2*5+2 B #+%$#C%*5+2
)?A+ '$ +6-$4'*D+/$76+-%$ %$&-*5+
+E9G:> H C()$.-+ 5IJ
-
8/18/2019 Guia 3 Algebra3 Aprendizaje Unidad4 Algiii Teoria Determinante
2/12
I' ##,6, $')'+6/(,()' $' MO P -' +'1+'-'(), 1%+ QMQ G $')?MAO ,# (@6'+%D
, con
?I! '- '# 2+*1% $' #,- 1'+6*),&/%('- $'# &%(O44 !TO ' " ?-A '- #, -/2(,)*+, $' #, 1'+6*),&/G(A
U,67/K( -' -*'#' '-&+/7/+:
0"0"76:KPJ8E J8 QKE J898:;=98E
; I/ -' 6*#)/1#/&,( )%$%- #%- '#'6'()%- $' *(, #3(', $' *(, 6,)+/: &*,$+,$, 1%+ *( (@6'+%O '#
$')'+6/(,()' 8*'$, 6*#)/1#/&,$% 1%+ $/&=% (@6'+%4
J89 XYZ(![ (0[ (\"""] ^ YZJ89 X(![ (0[ (\"""]
;
I/ M P V -%( $%- 6,)+/&'- &*,$+,$,- $'# 6/-6% %+$'(O '()%(&'- -' B'+/./&,D
J89 X+Z.] ^ J89 X+] Z J89 X.]
; I/ 1'+6*),6%- $%- #3(',- 1,+,#'#,- $' *(, 6,)+/: &*,$+,$,O -* $')'+6/(,()' &,67/, $' -/2(%
&%( +'-1'&)% ,# /(/&/,#D
J89 X(![ (0[ (\"""] ^ 7J89 X(0[ (![ (\"""]
;
I/ *(, 6,)+/: &*,$+,$, )/'(' *(, #3(', &%( )%$%- #%- '#'6'()%- (*#%-O -* $')'+6/(,()' B,#'
&'+%4J89 X_[ (0[ (\"""] ^ _
; I/ *(, 6,)+/: &*,$+,$, )/'(' $%- #3(',- 1,+,#'#,- /2*,#'-O -* $')'+6/(,()' B,#' &'+%4
J89 X(![ (![ (\"""] ^ _
-
8/18/2019 Guia 3 Algebra3 Aprendizaje Unidad4 Algiii Teoria Determinante
3/12
; I/ $%- #3(',- 1,+,#'#,- $' *(, 6,)+/: &*,$+,$, -%( 1+%1%+&/%(,#'-O -* $')'+6/(,()' -' ,(*#,4
J89 X(![ YZ(![ (\"""] ^ _
; I/ *(, ./#, ?&%#*6(,A $' *(, 6,)+/: &*,$+,$, '- &%67/(,&/G( #/(',# $' #,- +'-),()'- ./#,-
?&%#*6(,-AO -* $')'+6/(,()' B,#' &'+%4
J89 X(![ (0[ >Z(! ` aZ(0"""] ^ _
; I/ , *(, #3(', $' *(, 6,)+/: &*,$+,$, -' #' -*6, %)+, 1,+,#'#,O -* $')'+6/(,()' (% B,+3,4
J89 X@! ` @0[ @0[ @\] ^ J89 X@![ @0[ @\] ` J89 X@0[ @0[ @\] ^ J89 X@![ @0[ @\]
; I/ , *(, #3(', $' *(, 6,)+/: &*,$+,$, -' #' -*6, %)+, 1,+,#'#, 6*#)/1#/&,$, 1%+ *( (@6'+%O -*
$')'+6/(,()' (% B,+3,4
J89 X(! ` YZ (0[ (0[ (\"""] ^ J89 X(![ (0[ (\"""] ` J89 XYZ(0[ (0[ (\"""] ^ J89 X(![ (0[ (\"""] ` _
0"\"75bQUGQK J8 J898:;=98E J8 I:J8=8E ![ 0 c \
0"\"!"7#d9KJK J8 2>:GE X#>9:
-
8/18/2019 Guia 3 Algebra3 Aprendizaje Unidad4 Algiii Teoria Determinante
4/12
0"\"0"7#d9KJK J8 2>:GE X#>9:
-
8/18/2019 Guia 3 Algebra3 Aprendizaje Unidad4 Algiii Teoria Determinante
5/12
C,$, #, 6,)+/:
N, 6,)+/: &%61#'6'(),+/, $'# '#'6'()% #SS '- #, 6,)+/: 8*' +'-*#), $' -*1+/6/+ '( #, 6,)+/: M #, ./#, S P
#, &%#*6(, SW '- $'&/+:
N#,6,6%- 6'(%+ &%61#'6'(),+/% $'# '#'6'()% ,/
-
8/18/2019 Guia 3 Algebra3 Aprendizaje Unidad4 Algiii Teoria Determinante
6/12
$f8;PQKH
2KQGU
-
8/18/2019 Guia 3 Algebra3 Aprendizaje Unidad4 Algiii Teoria Determinante
7/12
-
8/18/2019 Guia 3 Algebra3 Aprendizaje Unidad4 Algiii Teoria Determinante
8/12
&'+% 7*-&,($% *(, 6,)+/: )+/,(2*#,+4
I' 6*#)/1#/&, '# 1+/6'+ +'(2#G( 1%+ ;> P -' -*6, ,# )'+&'+ +'(2#G(W -' 6*#)/1#/&, '# 1+/6'+ +'(2#G( 1%+ ;[ P
-' -*6, ,# &*,+)%
I' 6*#)/1#/&, '# -'2*($% +'(2#G( 1%+ ;\ P ;] P -' -*6, ,# )'+&'+ P &*,+)% +'(2#%('- +'-1'&)/B,6'()'.
I' .,&)%+/:, ;S^ $'# )'+&'+ +'(2#G(.
I' 6*#)/1#/&, '# )'+&'+ +'(2#G( 1%+ [> P -' -*6, ,# &*,+)%4
-
8/18/2019 Guia 3 Algebra3 Aprendizaje Unidad4 Algiii Teoria Determinante
9/12
M=%+, -' )/'(' *(, 6,)+/: )+/,(2*#,+ -*1'+/%+ D
$')?MA_ ;S^ ?SA?;SA?SA?S`A_S^`
0"g"75bQUGQK J8 Q> ;>9:=JK J898:;=98E X #89KJK J8 Q> +JfG=9>]
C,$, *(, 6,)+/: &*,$+,$, MO -' ##,6, 6,)+/: ,$
-
8/18/2019 Guia 3 Algebra3 Aprendizaje Unidad4 Algiii Teoria Determinante
10/12
N, 6,)+/: $' &%.,&)%+'- $' M '-D
N, 6,)+/: ,$
-
8/18/2019 Guia 3 Algebra3 Aprendizaje Unidad4 Algiii Teoria Determinante
11/12
I', C _ $') M4 I' $'./(' ( (*'B,- 6,)+/&'-
I', M *(, 6,)+/: $' ( Z ( P -*1%(2, 8*' $') M a `4
!!!
!"#!!!!!"# !!!
!!!
!"#!!!!!"# !!!
!!!
!"#!!!!!"# !!!
"
-
8/18/2019 Guia 3 Algebra3 Aprendizaje Unidad4 Algiii Teoria Determinante
12/12
I' '(&*'()+, 8*' $') ?MA _QMQ _ ;[ a `4 5%+ #% 8*' -' 1*'$' ,1#/&,+ #, +'2#, $' E+,6'+4 I' )/'('
'()%(&'-D
$%($' -' %7)/'(' 8*' QCSQ_ ;[O QC>Q_ ^ P QC[Q_ ;b4
!!!
!"#!!!! !"# !!!
!
!!
!!
!!
!!!!
!!!
!"#!!!! !"# !!!
!
!!
!!
!
!!!!!
!!!
!"#!!!! !"# !!!
!
!!
!!
!!
!!!!