perhitungan phi 1 (stlh kx)

8/17/2019 Perhitungan Phi 1 (Stlh Kx)

1/15

PERHITUNGAN "Ø" DENGAN ELIMINASI & NORMALISASI

Dengan : λ 80

Persamaan : 1 21859 ø1 0 ø2 8!#1 ø# $2185! ø! 0 ø5 0 ø% 0

Persamaan : 2 0 ø1 18250 ø2 181!' ø# 0 ø! $8%08 ø5 205!' ø% 0

Persamaan : # 8!#1 ø1 181!' ø2 8'901 ø# 0 ø! $205!' ø5 ##'9 ø% 0

Persamaan : ! $2185! ø1 0 ø2 0 ø# 21859 ø! 0 ø5 8!#1 ø% 0

Persamaan : 5 0 ø1 $8%08 ø2 $205!' ø# 0 ø! 18250 ø5 $181!' ø% 0

Persamaan : % 0 ø1 205!' ø2 ##'9 ø# 8!#1 ø! $181!' ø5 8'901 ø% 0

P()*e* Pe(+,-.ngan E/,,na*,

1 ø1 $000#9 ø# 0999'% ø!

2 ø2 $00099 ø# 000!'2 ø5 $0011# ø%

$0#252 ø# 8!2901 ø!

$180!5 ø# 08559! ø5 $20!#1 ø%

8'901 ø# $205!' ø5 ##'9 ø%

8'%88 ø# 8!2901 ø! $20!%1 ø5 ##585' ø%

# ø# $009%1 ø! 02## ø5 $0#8# ø%

8!2901 ø# $218!8 ø!

21859 ø! 8!#1 ø%

8!2901 ø# 102988 ø! 8!#1 ø%

$8102! ø! 19%%85 ø5 $#228! ø%

219%! ø! 19%%85 ø5 520258 ø%

4 219%! ø! 19%%85 ø5 520258 ø% 0

ø! $895!9 ø5 $2#%8' ø%

08559! ø# $0!0% ø5 09%91! ø%

$205!' ø# 18250 ø5 $181!' ø%

$20!%1 ø# 18250 ø5 $1805 ø%

19%%85 ø! $!''!5 ø5 '8#%99 ø%

5 19%%85 ø! $!''!5 ø5 '8#%99 ø% 0

5 $1'%1# ø5 $!%589 ø% 0

ø5 $2%!51 ø%

$20!#1 ø# 09%91! ø5 $2#1## ø%

##'9 ø# 8!#1 ø! $181!' ø5 8'901 ø%

##585' ø# 8!#1 ø! $1805 ø5 8'%%9' ø%

$#228! ø! '8#%99 ø5 $128%! ø%

520258 ø! $1021# ø5 '!8059 ø%

6 520258 ø! $1021# ø5 '!8059 ø% 0

$!%589 ø5 $12#2# ø%$5%802 ø5 $!8!2' ø%

6 $5%802 ø5 $!8!2' ø%

ø5 $0852% ø%

ø5 = -0.8526 ø6

ø4 = -16.052 ø6

ø3 = 0.96 ø6

ø2 = -0.0248 ø6

ø1 = -16.052 ø6

Normalisasi :

22.7596 ø6 = 1

ø6 = 0.0439374832

maka :

ø5 = -0.0375

ø4 = -0.7053

ø3 = 0.04223

ø2 = -0.0011

ø1 = -0.7053

-0.7053 λ = 80

-0.0011

0.04223

-0.7053-0.0375

0.04394

Perhitunan φ

!atriks mo"e #φ] =

√ φ12+φ22+φ32+φ 42+φ52+φ62=1


2/15


Dengan : λ 90

Persamaan : 1 21855 ø1 0 ø2 8#5 ø# $21855 ø! 0 ø5 0 ø% 0

Persamaan : 2 0 ø1 182!% ø2 1'958 ø# 0 ø! $8'01 ø5 20%58 ø% 0

Persamaan : # 8#5 ø1 1'958 ø2 8'%'1 ø# 0 ø! $20%58 ø5 ##918 ø% 0

Persamaan : ! $21855 ø1 0 ø2 0 ø# 21855 ø! 0 ø5 8#5 ø% 0

Persamaan : 5 0 ø1 $8'01 ø2 $20%58 ø# 0 ø! 182!% ø5 $1'958 ø% 0

Persamaan : % 0 ø1 20%58 ø2 ##918 ø# 8#5 ø! $1'958 ø5 8'%'1 ø% 0


1 ø1 $000#8 ø# 1 ø!

2 ø2 $00098 ø# 000!'' ø5 $0011# ø%

$0#19 ø# 8#!995 ø!

$1'%'! ø# 085%#% ø5 $20##2 ø%

8'%'1 ø# $20%58 ø5 ##918 ø%

8'!%2! ø# 8#!995 ø! $205'2 ø5 ##'1!' ø%

# ø# $00955 ø! 02#5 ø5 $0#855 ø%

8#!995 ø# $21855 ø!

21855 ø! 8#5 ø%

8#!995 ø# 02! ø! 8#5 ø%

$'9'1% ø! 19%!0# ø5 $#218' ø%

$''#1% ø! 19%!0# ø5 51#129 ø%

4 $''#1% ø! 19%!0# ø5 51#129 ø% 0

ø! 25!025 ø5 %%#%'5 ø%

085%#% ø# $0!1!9 ø5 098512 ø%

$20%58 ø# 182!% ø5 $1'958 ø%

$205'2 ø# 182!% ø5 $1'859 ø%

19%!0# ø! $!8#89 ø5 '9#01% ø%

5 19%!0# ø! $!8#89 ø5 '9#01% ø% 0

5 !98911 ø5 1#0#!' ø% 0

ø5 $2%12% ø%

$20##2 ø# 098512 ø5 $2##89 ø%

##918 ø# 8#5 ø! $1'958 ø5 8'%'1 ø%

##'1!' ø# 8#5 ø! $1'859 ø5 8'!#'1 ø%

$#218' ø! '9#01% ø5 $1299% ø%

51#129 ø! $9929# ø5 '!!!09 ø%

6 51#129 ø! $9929# ø5 '!!!09 ø% 0

1#0#!' ø5 #!0551 ø%#105!2 ø5 1085 ø%

6 #105!2 ø5 1085 ø%

ø5 $#!9#8 ø%

ø5 = -2.6126 ø6

ø4 = 0 ø6

ø3 = -1.00 ø6

ø2 = -0.0139 ø6

ø1 = 0.00382 ø6

Normalisasi :

2.97088 ø6 = 1

ø6 = 0.336601132

maka :

ø5 = -0.8794

ø4 = 0

ø3 = -0.3366

ø2 = -0.0047

ø1 = 0.00129

0.00129 λ = 90

-0.0047

-0.3366

0-0.8794

0.3366

Perhitunan φ

!atriks mo"e #φ] =

√ φ12+φ22+φ32+φ 42+φ52+φ62=1


3/15


Dengan : λ 15%0

Persamaan : 1 21292 ø1 0 ø2 $#55' ø# $220#1 ø! 0 ø5 0 ø% 0

Persamaan : 2 0 ø1 1'%%5 ø2 $9825 ø# 0 ø! $22#'2 ø5 #%9'5 ø% 0

Persamaan : # $#55' ø1 $9825 ø2 5#8%1 ø# 0 ø! $#%9'5 ø5 52'#! ø% 0

Persamaan : ! $220#1 ø1 0 ø2 0 ø# 21292 ø! 0 ø5 $#55' ø% 0

Persamaan : 5 0 ø1 $22#'2 ø2 $#%9'5 ø# 0 ø! 1'%%5 ø5 9825 ø% 0

Persamaan : % 0 ø1 #%9'5 ø2 52'#! ø# $#55' ø! 9825 ø5 5#8%1 ø% 0


1 ø1 0001%' ø# 10#!'2 ø!

2 ø2 00055% ø# 0012%% ø5 $00209 ø%

$0059! ø# $#%805 ø!

$05!%! ø# $12!!# ø5 205%!! ø%

5#8%1 ø# $#%9'5 ø5 52'#! ø%

5#8 ø# $#%805 ø! $#'099 ø5 529#9% ø%

# ø# 00%8!1 ø! 0%90 ø5 $098! ø%

$#%805 ø# $22'9% ø!

21292 ø! $#55' ø%

$#%805 ø# $150!2 ø! $#55' ø%

$251'8 ø! $25#8 ø5 #%21%2 ø%

$150%8 ø! $25#8 ø5 0%!%19 ø%

4 $150%8 ø! $25#8 ø5 0%!%19 ø% 0

ø! $001%8 ø5 0000!# ø%

$12!!# ø# $28### ø5 !%82%2 ø%

$#%9'5 ø# 1'%%5 ø5 9825 ø%

$#'099 ø# 1'%%# ø5 1029## ø%

$25#8 ø! $2558# ø5 #%5059 ø%

5 $25#8 ø! $2558# ø5 #%5059 ø% 0

5 0!2'5 ø5 $00109 ø% 0

ø5 0025!% ø%

205%!! ø# !%82%2 ø5 $''#91 ø%

52'#! ø# $#55' ø! 9825 ø5 5#8%1 ø%

529#9% ø# $#55' ø! 1029## ø5 5#08'1 ø%

#%21%2 ø! #%5059 ø5 $5209# ø%

0%!%19 ø! !%'991 ø5 99!!!1 ø%

6 0%!%19 ø! !%'991 ø5 99!!!1 ø% 0

$00109 ø5 000028 ø%!%'98 ø5 99!!%9 ø%

6 !%'98 ø5 99!!%9 ø%

ø5 $0021# ø%

ø5 = -0.0213 ø6

ø4 = 0.00079 ø6

ø3 = -1.00 ø6

ø2 = -0.0268 ø6

ø1 = -0.0009 ø6

Normalisasi :

1.41364 ø6 = 1

ø6 = 0.7073948162

maka :

ø5 = -0.015

ø4 = 0.00056

ø3 = -0.7064

ø2 = -0.0189

ø1 = -0.0006

-0.0006 λ = 1560

-0.0189

-0.7064

0.00056-0.015

0.70739

Perhitunan φ

!atriks mo"e #φ] =

√ φ12+φ22+φ32+φ 42+φ52+φ62=1


4/15


Dengan : λ 15%0

Persamaan : 1 21292 ø1 0 ø2 $#55' ø# $220#1 ø! 0 ø5 0 ø% 0

Persamaan : 2 0 ø1 1'%%5 ø2 $9825 ø# 0 ø! $22#'2 ø5 #%9'5 ø% 0

Persamaan : # $#55' ø1 $9825 ø2 5#8%1 ø# 0 ø! $#%9'5 ø5 52'#! ø% 0

Persamaan : ! $220#1 ø1 0 ø2 0 ø# 21292 ø! 0 ø5 $#55' ø% 0

Persamaan : 5 0 ø1 $22#'2 ø2 $#%9'5 ø# 0 ø! 1'%%5 ø5 9825 ø% 0

Persamaan : % 0 ø1 #%9'5 ø2 52'#! ø# $#55' ø! 9825 ø5 5#8%1 ø% 0


1 ø1 0001%' ø# 10#!'2 ø!

2 ø2 00055% ø# 0012%% ø5 $00209 ø%

$0059! ø# $#%805 ø!

$05!%! ø# $12!!# ø5 205%!! ø%

5#8%1 ø# $#%9'5 ø5 52'#! ø%

5#8 ø# $#%805 ø! $#'099 ø5 529#9% ø%

# ø# 00%8!1 ø! 0%90 ø5 $098! ø%

$#%805 ø# $22'9% ø!

21292 ø! $#55' ø%

$#%805 ø# $150!2 ø! $#55' ø%

$251'8 ø! $25#8 ø5 #%21%2 ø%

$150%8 ø! $25#8 ø5 0%!%19 ø%

4 $150%8 ø! $25#8 ø5 0%!%19 ø% 0

ø! $001%8 ø5 0000!# ø%

$12!!# ø# $28### ø5 !%82%2 ø%

$#%9'5 ø# 1'%%5 ø5 9825 ø%

$#'099 ø# 1'%%# ø5 1029## ø%

$25#8 ø! $2558# ø5 #%5059 ø%

5 $25#8 ø! $2558# ø5 #%5059 ø% 0

5 0!2'5 ø5 $00109 ø% 0

ø5 0025!% ø%

205%!! ø# !%82%2 ø5 $''#91 ø%

52'#! ø# $#55' ø! 9825 ø5 5#8%1 ø%

529#9% ø# $#55' ø! 1029## ø5 5#08'1 ø%

#%21%2 ø! #%5059 ø5 $5209# ø%

0%!%19 ø! !%'991 ø5 99!!!1 ø%

6 0%!%19 ø! !%'991 ø5 99!!!1 ø% 0

$00109 ø5 000028 ø%!%'98 ø5 99!!%9 ø%

6 !%'98 ø5 99!!%9 ø%

ø5 $0021# ø%

ø5 = 0.02546 ø6

ø4 = 0 ø6

ø3 = -0.97 ø6

ø2 = -0.026 ø6

ø1 = -0.0016 ø6

Normalisasi :

1.39116 ø6 = 1

ø6 = 0.718822185

maka :

ø5 = 0.0183

ø4 = 0

ø3 = -0.6947

ø2 = -0.0187

ø1 = -0.0012

-0.0012 λ = 1560

-0.0187

-0.6947

00.0183

0.71882

Perhitunan φ

!atriks mo"e #φ] =

√ φ12+φ22+φ32+φ 42+φ52+φ62=1


5/15


Dengan : λ 1#1%0

Persamaan : 1 1%8!9 ø1 0 ø2 $9'51' ø# $2#!2# ø! 0 ø5 0 ø% 0

Persamaan : 2 0 ø1 1#08# ø2 $2290' ø# 0 ø! $1#025 ø5 1%5'#5 ø% 0

Persamaan : # $9'51' ø1 $2290' ø2 $2129! ø# 0 ø! $1%5'! ø5 20121! ø% 0

Persamaan : ! $2#!2# ø1 0 ø2 0 ø# 1%8!9 ø! 0 ø5 $9'51' ø% 0

Persamaan : 5 0 ø1 $1#025 ø2 $1%5'! ø# 0 ø! 1#08# ø5 2290%5 ø% 0

Persamaan : % 0 ø1 1%5'#5 ø2 20121! ø# $9'51' ø! 2290%5 ø5 $2129! ø% 0


1 ø1 005'88 ø# 1#901' ø!

2 ø2 01'508 ø# 009955 ø5 $012%' ø%

$5%!! ø# $1#55' ø!

$!0105 ø# $22805 ø5 2901%9 ø%

$2129! ø# $1%5'! ø5 20121! ø%

$258%9 ø# $1#55' ø! $1885! ø5 2#02#1 ø%

# ø# $052!1 ø! $0'29 ø5 089 ø%

$1#55' ø# $#25%2 ø!

1%8!9 ø! $9'51' ø%

$1#55' ø# $15'1# ø! $9'51' ø%

'10!#! ø! 9880!! ø5 $120%5 ø%

$1500# ø! 9880!! ø5 $2181' ø%

4 $1500# ø! 9880!! ø5 $2181' ø% 0

ø! 00%58% ø5 $01!5! ø%

$22805 ø# $129%' ø5 1%5 ø%

$1%5'! ø# 1#08# ø5 2290%5 ø%

$1885! ø# 1295! ø5 2!55%5 ø%

9880!! ø! 1#'!1# ø5 $1%'8 ø%

5 9880!! ø! 1#'!1# ø5 $1%'8 ø% 0

5 %50' ø5 $1!#%8 ø% 0

ø5 22081 ø%

2901%9 ø# 1%5 ø5 $20995 ø%

20121! ø# $9'51' ø! 2290%5 ø5 $2129! ø%

2#02#1 ø# $9'51' ø! 2!55%5 ø5 $2##9# ø%

$120%5 ø! $1%'8 ø5 20!9 ø%

$2181' ø! '''%5! ø5 $29029 ø%

6 $2181' ø! '''%5! ø5 $29029 ø% 0

$1!#%8 ø5 #1'2%1 ø%%##9'# ø5 2%9'09 ø%

6 %##9'# ø5 2%9'09 ø%

ø5 $00!25 ø%

ø5 = -0.0425 ø6

ø4 = -0.1482 ø6

ø3 = 1.00 ø6

ø2 = 0.04394 ø6

ø1 = -0.1483 ø6

Normalisasi :

1.43005 ø6 = 1

ø6 = 0.6992757381

maka :

ø5 = -0.0297

ø4 = -0.1036

ø3 = 0.69835

ø2 = 0.03072

ø1 = -0.1037

-0.1037 λ = 13160

0.03072

0.69835

-0.1036-0.0297

0.69928

Perhitunan φ

!atriks mo"e #φ] =

√ φ12+φ22+φ32+φ 42+φ52+φ62=1


6/15


Dengan : λ 1#1%0

Persamaan : 1 1%8!9 ø1 0 ø2 $9'51' ø# $2#!2# ø! 0 ø5 0 ø% 0

Persamaan : 2 0 ø1 1#08# ø2 $2290' ø# 0 ø! $1#025 ø5 1%5'#5 ø% 0

Persamaan : # $9'51' ø1 $2290' ø2 $2129! ø# 0 ø! $1%5'! ø5 20121! ø% 0

Persamaan : ! $2#!2# ø1 0 ø2 0 ø# 1%8!9 ø! 0 ø5 $9'51' ø% 0

Persamaan : 5 0 ø1 $1#025 ø2 $1%5'! ø# 0 ø! 1#08# ø5 2290%5 ø% 0

Persamaan : % 0 ø1 1%5'#5 ø2 20121! ø# $9'51' ø! 2290%5 ø5 $2129! ø% 0


1 ø1 005'88 ø# 1#901' ø!

2 ø2 01'508 ø# 009955 ø5 $012%' ø%

$5%!! ø# $1#55' ø!

$!0105 ø# $22805 ø5 2901%9 ø%

$2129! ø# $1%5'! ø5 20121! ø%

$258%9 ø# $1#55' ø! $1885! ø5 2#02#1 ø%

# ø# $052!1 ø! $0'29 ø5 089 ø%

$1#55' ø# $#25%2 ø!

1%8!9 ø! $9'51' ø%

$1#55' ø# $15'1# ø! $9'51' ø%

'10!#! ø! 9880!! ø5 $120%5 ø%

$1500# ø! 9880!! ø5 $2181' ø%

4 $1500# ø! 9880!! ø5 $2181' ø% 0ø! 00%58% ø5 $01!5! ø%

$22805 ø# $129%' ø5 1%5 ø%

$1%5'! ø# 1#08# ø5 2290%5 ø%

$1885! ø# 1295! ø5 2!55%5 ø%

9880!! ø! 1#'!1# ø5 $1%'8 ø%

5 9880!! ø! 1#'!1# ø5 $1%'8 ø% 0

5 %50' ø5 $1!#%8 ø% 0

ø5 22081 ø%

2901%9 ø# 1%5 ø5 $20995 ø%

20121! ø# $9'51' ø! 2290%5 ø5 $2129! ø%

2#02#1 ø# $9'51' ø! 2!55%5 ø5 $2##9# ø%

$120%5 ø! $1%'8 ø5 20!9 ø%

$2181' ø! '''%5! ø5 $29029 ø%

6 $2181' ø! '''%5! ø5 $29029 ø% 0$1!#%8 ø5 #1'2%1 ø%

%##9'# ø5 2%9'09 ø%

6 %##9'# ø5 2%9'09 ø%

ø5 $00!25 ø%

ø5 = 2.2081 ø6

ø4 = 0 ø6

ø3 = -0.72 ø6

ø2 = -0.0328 ø6

ø1 = -0.0416 ø6

Normalisasi :

2.52902 ø6 = 1

ø6 = 0.3954099001

maka :

ø5 = 0.8731

ø4 = 0

ø3 = -0.2844

ø2 = -0.013

ø1 = -0.0165

-0.0165 λ = 13160

-0.013

-0.2844

0

0.8731

0.39541

Perhitunan φ

!atriks mo"e #φ] =

√ φ12+φ22+φ32+φ 42+φ52+φ62=1


7/15


Dengan : λ '!#90

Persamaan : 1 $%%02 ø1 0 ø2 $59#!8 ø# $#0''1 ø! 0 ø5 0 ø% 0

Persamaan : 2 0 ø1 $11102!1 ø2 $1#8%# ø# 0 ø! $%99%9 ø5 8!5#88 ø% 0

Persamaan : # $59#!8 ø1 $1#8%#12 ø2 $1%212 ø# 0 ø! $8!5#9 ø5 98!958 ø% 0

Persamaan : ! $#0''1 ø1 0 ø2 0 ø# $%%02 ø! 0 ø5 $59#!8 ø% 0

Persamaan : 5 0 ø1 $%99%91 ø2 $8!5#9 ø# 0 ø! $11102 ø5 1#8%# ø% 0

Persamaan : % 0 ø1 8!5#88 ø2 98!958 ø# $59#!8 ø! 1#8%# ø5 $1%212 ø% 0


1 ø1 $08989 ø# $!%%08!! ø!

2 ø2 $12!8' ø# $0%#02 ø5 0'%1!5 ø%

5##5 ø# '8 ø!

1'#10 ø# 8'#%'5 ø5 $1055% ø%

$1%212 ø# $8!5#9 ø5 98!958 ø%

%!##0% ø# '8 ø! 2828'2 ø5 $'0%!# ø%

# ø# $!2998!9 ø! $00!! ø5 010981 ø%

2'%%1 ø# 1!#!1'9 ø!

$%%0198 ø! $59#!8 ø%

2'%%1 ø# 92 ø! $59#!8 ø%

$1189#9 ø! $121%# ø5 #0#'5! ø%

#! ø! $121%# ø5 $289'# ø%

4 #! ø! $121%# ø5 $289'# ø% 0

ø! 00%80! ø5 01%20' ø%

8'#%'5 ø# !!095% ø5 $5#2'8 ø%

$8!5#9 ø# $11102 ø5 1#8%# ø%

2828'2 ø# $%%928 ø5 85#5#5 ø%

$121%#0' ø! $12!#8 ø5 #10%29 ø%

5 $121%#0' ø! $12!#8 ø5 #10%29 ø% 0

5 $82'5! ø5 $19'12 ø% 0

ø5 $2#82 ø%

$1055% ø# $5#2'8 ø5 %!#'1' ø%

98!958 ø# $59#!8 ø! 1#8%# ø5 $1%212 ø%

$'0%!# ø# $59#!8 ø! 85#5#5 ø5 $9''51 ø%

!#1 ø! #10%29 ø5 $''5'5 ø%

$289'25' ø! 85%%!2 ø5 $9852' ø%

6 $289'25' ø! 85%%!2 ø5 $9852' ø% 0

$19'12 ø5 $!%955 ø%8#%9# ø5 $10#22 ø%

6 8#%9# ø5 $10#22 ø%

ø5 12###5 ø%

ø5 = 1.23335 ø6

ø4 = 0.24598 ø6

ø3 = -1.00 ø6

ø2 = 1.23545 ø6

ø1 = -0.2456 ø6

Normalisasi :

2.27432 ø6 = 1

ø6 = 0.4396926873

maka :

ø5 = 0.54229

ø4 = 0.10816

ø3 = -0.4406

ø2 = 0.54322

ø1 = -0.108

-0.108 λ = 74390

0.54322

-0.4406

0.10816

0.54229

0.43969

Perhitunan φ

!atriks mo"e #φ] =

√ φ12+φ22+φ32+φ 42+φ52+φ62=1


8/15


Dengan : λ '!#90

Persamaan : 1 $%%02 ø1 0 ø2 $59#!8 ø# $#0''1 ø! 0 ø5 0 ø% 0

Persamaan : 2 0 ø1 $11102!1 ø2 $1#8%# ø# 0 ø! $%99%9 ø5 8!5#88 ø% 0

Persamaan : # $59#!8 ø1 $1#8%#12 ø2 $1%212 ø# 0 ø! $8!5#9 ø5 98!958 ø% 0

Persamaan : ! $#0''1 ø1 0 ø2 0 ø# $%%02 ø! 0 ø5 $59#!8 ø% 0

Persamaan : 5 0 ø1 $%99%91 ø2 $8!5#9 ø# 0 ø! $11102 ø5 1#8%# ø% 0

Persamaan : % 0 ø1 8!5#88 ø2 98!958 ø# $59#!8 ø! 1#8%# ø5 $1%212 ø% 0


1 ø1 $08989 ø# $!%%08!! ø!

2 ø2 $12!8' ø# $0%#02 ø5 0'%1!5 ø%

5##5 ø# 2'%%118 ø!

1'#10 ø# 8'#%'5 ø5 $1055% ø%

$1%212 ø# $8!5#9 ø5 98!958 ø%

%!##0% ø# 2'%%118 ø! 2828'2 ø5 $'0%!# ø%

# ø# $!2998!9 ø! $00!! ø5 010981 ø%

2'%%1 ø# 1!#!1'9 ø!

$%%0198 ø! $59#!8 ø%

2'%%1 ø# 1#%8159 ø! $59#!8 ø%

$1189#9 ø! $121%# ø5 #0#'5! ø%

1'8''0# ø! $121%# ø5 $289'# ø%

4 1'8''0# ø! $121%# ø5 $289'# ø% 0

ø! 00%80! ø5 01%20' ø%

8'#%'5 ø# !!095% ø5 $5#2'8 ø%

$8!5#9 ø# $11102 ø5 1#8%# ø%

2828'2 ø# $%%928 ø5 85#5#5 ø%

$121%#0' ø! $12!#8 ø5 #10%29 ø%

5 $121%#0' ø! $12!#8 ø5 #10%29 ø% 0

5 $82'5! ø5 $19'12 ø% 0

ø5 $2#82 ø%

$1055% ø# $5#2'8 ø5 %!#'1' ø%

98!958 ø# $59#!8 ø! 1#8%# ø5 $1%212 ø%

$'0%!# ø# $59#!8 ø! 85#5#5 ø5 $9''51 ø%

#0#'5!# ø! #10%29 ø5 $''5'5 ø%

$289'25' ø! 85%%!2 ø5 $9852' ø%

6 $289'25' ø! 85%%!2 ø5 $9852' ø% 0

$19'12 ø5 $!%955 ø%

8#%9# ø5 $10#22 ø%

6 8#%9# ø5 $10#22 ø%

ø5 12###5 ø%

ø5 = -2.382 ø6

ø4 = 0 ø6

ø3 = 0.21 ø6

ø2 = 1.99472 ø6

ø1 = -0.1929 ø6

Normalisasi :

3.2766 ø6 = 1

ø6 = 0.3051941613

maka :

ø5 = -0.727

ø4 = 0

ø3 = 0.06548

ø2 = 0.60878

ø1 = -0.0589

-0.0589 λ = 74390

0.60878

0.06548

0-0.727

0.30519

Perhitunan φ

!atriks mo"e #φ] =

√ φ12+φ22+φ32+φ 42+φ52+φ62=1


9/15


Dengan : λ '9900

Persamaan : 1 $8'12# ø1 0 ø2 $%#811 ø# $#1!#2 ø! 0 ø5 0 ø% 0

Persamaan : 2 0 ø1 $1#2'88% ø2 $1!905 ø# 0 ø! $'509# ø5 90%5!9 ø% 0

Persamaan : # $%#811 ø1 $1!90!51 ø2 $1'!80 ø# 0 ø! $90%55 ø5 10555 ø% 0

Persamaan : ! $#1!#2 ø1 0 ø2 0 ø# $8'12# ø! 0 ø5 $%#811 ø% 0

Persamaan : 5 0 ø1 $'509#! ø2 $90%55 ø# 0 ø! $1#2'9 ø5 1!905 ø% 0

Persamaan : % 0 ø1 90%5!9 ø2 10555 ø# $%#811 ø! 1!905 ø5 $1'!80 ø% 0


1 ø1 $0'#2! ø# $#%0''%9 ø!

2 ø2 $1122! ø# $05%55 ø5 0%82' ø%

!%'#%8 ø# 2#0215' ø!

1%'29 ø# 8!28%% ø5 $101'5 ø%

$1'!80 ø# $90%55 ø5 10555 ø%

#92#2' ø# 2#0215' ø! $%#%8# ø5 #'95#' ø%

# ø# $58%'95! ø! 01%2 ø5 $009%' ø%

2#022 ø# 11##99! ø!

$8'12#1 ø! $%#811 ø%

2#022 ø# 10!%8'1 ø! $%#811 ø%

$1#5090 ø! #'#%8' ø5 $222'1 ø%

$#0!02!# ø! #'#%8' ø5 $8%082 ø%

4 $#0!02!# ø! #'#%8' ø5 $8%082 ø% 0

ø! 012291 ø5 $028#1 ø%

8!28%% ø# !2!%%1 ø5 $512%% ø%

$90%55 ø# $1#2'9 ø5 1!905 ø%

$%#%8# ø# $90#22 ø5 9'''88 ø%

#'#%8'# ø! $10##' ø5 %1%0%' ø%

5 #'#%8'# ø! $10##' ø5 %1%0%' ø% 0

5 !59#1# ø5 $10581 ø% 0

ø5 2#0#59 ø%

$101'5 ø# $512%% ø5 %189 ø%

10555 ø# $%#8111 ø! 1!905 ø5 $1'!80 ø%

#'95#' ø# $%#8111 ø! 9'''88 ø5 $11291 ø%

$222'10' ø! %1%0%' ø5 $#%'1% ø%

$8%0821' ø! 98#9!8 ø5 $11#2' ø%

6 $8%0821' ø! 98#9!8 ø5 $11#2' ø% 0

$10581 ø5 2!#'#5 ø%

8'81!2 ø5 $88899 ø%

6 8'81!2 ø5 $88899 ø%

ø5 1012#% ø%

ø5 = 1.01236 ø6

ø4 = -0.1587 ø6

ø3 = 1.00 ø6

ø2 = -1.011 ø6

ø1 = -0.159 ø6

Normalisasi :

2.02366 ø6 = 1

ø6 = 0.4941545693

maka :

ø5 = 0.50026

ø4 = -0.0784

ø3 = 0.49361

ø2 = -0.4996

ø1 = -0.0786

-0.0786 λ = 79900

-0.4996

0.49361

-0.07840.50026

0.49415

Perhitunan φ

!atriks mo"e #φ] =

√ φ12+φ22+φ32+φ 42+φ52+φ62=1


10/15


Dengan : λ '9900

Persamaan : 1 $8'12# ø1 0 ø2 $%#811 ø# $#1!#2 ø! 0 ø5 0 ø% 0

Persamaan : 2 0 ø1 $1#2'88% ø2 $1!905 ø# 0 ø! $'509# ø5 90%5!9 ø% 0

Persamaan : # $%#811 ø1 $1!90!51 ø2 $1'!80 ø# 0 ø! $90%55 ø5 10555 ø% 0

Persamaan : ! $#1!#2 ø1 0 ø2 0 ø# $8'12# ø! 0 ø5 $%#811 ø% 0

Persamaan : 5 0 ø1 $'509#! ø2 $90%55 ø# 0 ø! $1#2'9 ø5 1!905 ø% 0

Persamaan : % 0 ø1 90%5!9 ø2 10555 ø# $%#811 ø! 1!905 ø5 $1'!80 ø% 0


1 ø1 $0'#2! ø# $#%0''%9 ø!

2 ø2 $1122! ø# $05%55 ø5 0%82' ø%

!%'#%8 ø# 2#0215' ø!

1%'29 ø# 8!28%% ø5 $101'5 ø%

$1'!80 ø# $90%55 ø5 10555 ø%

#92#2' ø# 2#0215' ø! $%#%8# ø5 #'95#' ø%

# ø# $58%'95! ø! 01%2 ø5 $009%' ø%

2#022 ø# 11##99! ø!

$8'12#1 ø! $%#811 ø%

2#022 ø# 10!%8'1 ø! $%#811 ø%

$1#5090 ø! #'#%8' ø5 $222'1 ø%

$#0!02!# ø! #'#%8' ø5 $8%082 ø%

4 $#0!02!# ø! #'#%8' ø5 $8%082 ø% 0

ø! 012291 ø5 $028#1 ø%

8!28%% ø# !2!%%1 ø5 $512%% ø%

$90%55 ø# $1#2'9 ø5 1!905 ø%

$%#%8# ø# $90#22 ø5 9'''88 ø%

#'#%8'# ø! $10##' ø5 %1%0%' ø%

5 #'#%8'# ø! $10##' ø5 %1%0%' ø% 0

5 !59#1# ø5 $10581 ø% 0

ø5 2#0#59 ø%

$101'5 ø# $512%% ø5 %189 ø%

10555 ø# $%#8111 ø! 1!905 ø5 $1'!80 ø%

#'95#' ø# $%#8111 ø! 9'''88 ø5 $11291 ø%

$222'10' ø! %1%0%' ø5 $#%'1% ø%

$8%0821' ø! 98#9!8 ø5 $11#2' ø%

6 $8%0821' ø! 98#9!8 ø5 $11#2' ø% 0

$10581 ø5 2!#'#5 ø%

8'81!2 ø5 $88899 ø%

6 8'81!2 ø5 $88899 ø%

ø5 1012#% ø%

ø5 = 2.30359 ø6

ø4 = 0 ø6

ø3 = 0.28 ø6

ø2 = -0.9311 ø6

ø1 = -0.203 ø6

Normalisasi :

2.70029 ø6 = 1

ø6 = 0.3703312411

maka :

ø5 = 0.85309

ø4 = 0

ø3 = 0.10265

ø2 = -0.3448

ø1 = -0.0752

-0.0752 λ = 79900

-0.3448

0.10265

00.85309

0.37033

Perhitunan φ

!atriks mo"e #φ] =

√ φ12+φ22+φ32+φ 42+φ52+φ62=1


11/15


Dengan : λ 205#10

Persamaan : 1 $5%'!! ø1 0 ø2 $1%5#9 ø# $!%!81 ø! 0 ø5 0 ø% 0

Persamaan : 2 0 ø1 $%281% ø2 $#8%0' ø# 0 ø! $191'2 ø5 2298% ø% 0

Persamaan : # $1%5#9 ø1 $#8%0' ø2 $!%#2! ø# 0 ø! $2298% ø5 2%%0' ø% 0

Persamaan : ! $!%!81 ø1 0 ø2 0 ø# $5%'!! ø! 0 ø5 $1%5#9 ø% 0

Persamaan : 5 0 ø1 $191'2 ø2 $2298% ø# 0 ø! $%281% ø5 #8%0' ø% 0

Persamaan : % 0 ø1 2298% ø2 2%%0' ø# $1%5#9 ø! #8%0' ø5 $!%#2! ø% 0


1 ø1 $02915 ø# $08191 ø!

2 ø2 $0%1!% ø# $0#052 ø5 0#%59# ø%

!820'# ø# 1#5!8 ø!

2#'28 ø# 11'8! ø5 $1!12' ø%

$!%#2! ø# $2298% ø5 2%%0' ø%

$1'''5 ø# 1#5!8 ø! $11202 ø5 12!80 ø%

# ø# 0'%219 ø! $0%#0 ø5 0'0211 ø%

1#5!8 ø# #80'! ø!

$5%'!! ø! $1%5#9 ø%

1#5!8 ø# $18%'0 ø! $1%5#9 ø%

10#2% ø! $85#8! ø5 951209 ø%

$8#!! ø! $85#8! ø5 $'02'2 ø%

4 $8#!! ø! $85#8! ø5 $'02'2 ø% 0

ø! $102## ø5 $08!22 ø%

11'8! ø# 5851'' ø5 $'015' ø%

$2298% ø# $%281% ø5 #8%0' ø%

$11202 ø# $5%9%! ø5 #1591 ø%

$85#8! ø! '0%02 ø5 $'8%5# ø%

5 $85#8! ø! '0%02 ø5 $'8%5# ø% 0

5 8'#'#2 ø5 '191 ø% 0

ø5 $082# ø%

$1!12' ø# $'015' ø5 8!112 ø%

2%%0' ø# $1%5#9 ø! #8%0' ø5 $!%#2! ø%

12!80 ø# $1%5#9 ø! #1591 ø5 $#'91# ø%

951209 ø! $'8%5# ø5 8'%2# ø%

$'02'2 ø! 2#'2% ø5 $29150 ø%

6 $'02'2 ø! 2#'2% ø5 $29150 ø% 0

'191 ø5 59182' ø%#091' ø5 $2#2#2 ø%

6 #091' ø5 $2#2#2 ø%

ø5 0'51!! ø%

ø5 = 0.75144 ø6

ø4 = -1.6111 ø6

ø3 = -1.00 ø6

ø2 = 0.75085 ø6

ø1 = 1.61105 ø6

Normalisasi :

2.8842 ø6 = 1

ø6 = 0.346716524

maka :

ø5 = 0.26054

ø4 = -0.5586

ø3 = -0.3465

ø2 = 0.26033

ø1 = 0.55858

0.55858 λ = 205310

0.26033

-0.3465

-0.5586

0.26054

0.34672

Perhitunan φ

!atriks mo"e #φ] =

√ φ12+φ2

2+φ3

2+φ 4

2+φ5

2+φ6

2=1


12/15


Dengan : λ 205#10

Persamaan : 1 $5%'!! ø1 0 ø2 $1%5#9 ø# $!%!81 ø! 0 ø5 0 ø% 0

Persamaan : 2 0 ø1 $%281% ø2 $#8%0' ø# 0 ø! $191'2 ø5 2298% ø% 0

Persamaan : # $1%5#9 ø1 $#8%0' ø2 $!%#2! ø# 0 ø! $2298% ø5 2%%0' ø% 0

Persamaan : ! $!%!81 ø1 0 ø2 0 ø# $5%'!! ø! 0 ø5 $1%5#9 ø% 0

Persamaan : 5 0 ø1 $191'2 ø2 $2298% ø# 0 ø! $%281% ø5 #8%0' ø% 0

Persamaan : % 0 ø1 2298% ø2 2%%0' ø# $1%5#9 ø! #8%0' ø5 $!%#2! ø% 0


1 ø1 $02915 ø# $08191 ø!

2 ø2 $0%1!% ø# $0#052 ø5 0#%59# ø%

!820'# ø# 1#5!8 ø!

2#'28 ø# 11'8! ø5 $1!12' ø%

$!%#2! ø# $2298% ø5 2%%0' ø%

$1'''5 ø# 1#5!8 ø! $11202 ø5 12!80 ø%

# ø# 0'%219 ø! $0%#0 ø5 0'0211 ø%

1#5!8 ø# #80'! ø!

$5%'!! ø! $1%5#9 ø%

1#5!8 ø# $18%'0 ø! $1%5#9 ø%

10#2% ø! $85#8! ø5 951209 ø%

$8#!! ø! $85#8! ø5 $'02'2 ø%

4 $8#!! ø! $85#8! ø5 $'02'2 ø% 0

ø! $102## ø5 $08!22 ø%

11'8! ø# 5851'' ø5 $'015' ø%

$2298% ø# $%281% ø5 #8%0' ø%

$11202 ø# $5%9%! ø5 #1591 ø%

$85#8! ø! '0%02 ø5 $'8%5# ø%

5 $85#8! ø! '0%02 ø5 $'8%5# ø% 0

5 8'#'#2 ø5 '191 ø% 0

ø5 $082# ø%

$1!12' ø# $'015' ø5 8!112 ø%

2%%0' ø# $1%5#9 ø! #8%0' ø5 $!%#2! ø%

12!80 ø# $1%5#9 ø! #1591 ø5 $#'91# ø%

951209 ø! $'8%5# ø5 8'%2# ø%

$'02'2 ø! 2#'2% ø5 $29150 ø%

6 $'02'2 ø! 2#'2% ø5 $29150 ø% 0

'191 ø5 59182' ø%#091' ø5 $2#2#2 ø%

6 #091' ø5 $2#2#2 ø%

ø5 0'51!! ø%

ø5 = -0.823 ø6

ø4 = 0 ø6

ø3 = 1.22 ø6

ø2 = -0.1332 ø6

ø1 = -0.3558 ø6

Normalisasi :

1.81991 ø6 = 1

ø6 = 0.5494782933

maka :

ø5 = -0.4522

ø4 = 0

ø3 = 0.6708

ø2 = -0.0732

ø1 = -0.1955

-0.1955 λ = 205310

-0.0732

0.6708

0-0.4522

0.54948

Perhitunan φ

!atriks mo"e #φ] =

√ φ12+φ22+φ32+φ 42+φ52+φ62=1


13/15

1 $5%'!1 ø1 0 ø2 $1%5#9 ø# $!%!80 ø! 0 ø5 0 ø% 0

2 0 ø1 $%2812 ø2 $#8%05 ø# 0 ø! $191'2 ø5 22985 ø% 0

# $1%5#9 ø1 $#8%05 ø2 $!%#22 ø# 0 ø! $22985 ø5 2%%0% ø% 0

! $!%!80 ø1 0 ø2 0 ø# $5%'!1 ø! 0 ø5 $1%5#9 ø% 0

5 0 ø1 $191'2 ø2 $22985 ø# 0 ø! $%2812 ø5 #8%05 ø% 0

% 0 ø1 22985 ø2 2%%0% ø# $1%5#9 ø! #8%05 ø5 $!%#22 ø% 0

1 ø1 $02915 ø# $08192 ø!

2 ø2 $0%1!% ø# $0#052 ø5 0#%59# ø%

3 !82058 ø# 1#5!8 ø!

2#'2' ø# 11'8# ø5 $1!12' ø%

$!%#22 ø# $22985 ø5 2%%0% ø%

$1'''! ø# 1#5!8 ø! $11202 ø5 12!'9 ø%

# ø# 0'%22! ø! $0%#0 ø5 0'0212 ø%

4 1#5!8 ø# #80'5 ø!

$5%'!1 ø! $1%5#9 ø%

1#5!8 ø# $18%%% ø! $1%5#9 ø%

10#2' ø! $85#8! ø5 951212 ø%$8##89 ø! $85#8! ø5 $'02%! ø%

4 $8##89 ø! $85#8! ø5 $'02%! ø% 0

ø! $102#9 ø5 $08!2% ø%

5 11'8# ø# 58515' ø5 $'0155 ø%

$22985 ø# $%2812 ø5 #8%05 ø%

$11202 ø# $5%9%0 ø5 #1590 ø%

$85#8! ø! '0598! ø5 $'8%!9 ø%

5 $85#8! ø! '0598! ø5 $'8%!9 ø% 0

5 8'!2%9 ø5 '19!!8 ø% 0

ø5 $08229 ø%

$1!12' ø# $'0155 ø5 8!1091 ø%

2%%0% ø# $1%5#9 ø! #8%05 ø5 $!%#22 ø%

12!'9 ø# $1%5#9 ø! #1590 ø5 $#'911 ø%

951212 ø! $'8%!9 ø5 8'%18! ø%

$'02%! ø! 2#'25 ø5 $291!9 ø%

6 $'02%! ø! 2#'25 ø5 $291!9 ø% 0

'19!!8 ø5 5920!! ø%

#0919 ø5 $2#228 ø%

6 #0919 ø5 $2#228 ø%

ø5 0'512% ø%


14/15

Perhitunan

ø5 = 0.75126 ø6

ø4 = -1.6118 ø6

ø3 = -1.00 ø6

ø2 = 0.75122 ø6

ø1 = 1.61183 ø6

Normalisasi :

2.88525 ø6 = 1

ø6 = 0.3465902904maka :

ø5 = 0.26038

ø4 = -0.558647

ø3 = -0.346578

ø2 = 0.260367

ø1 = 0.558645

√ φ12+φ22+φ32+φ 42+φ52+φ62=1


15/15


Dengan : λ 205#00

Persamaan : 1 $5%'!1 ø1 0 ø2 $1%5#9 ø# $!%!80 ø! 0 ø5 0 ø% 0

Persamaan : 2 0 ø1 $%2812 ø2 $#8%05 ø# 0 ø! $191'2 ø5 22985 ø% 0

Persamaan : # $1%5#9 ø1 $#8%05 ø2 $!%#22 ø# 0 ø! $22985 ø5 2%%0% ø% 0

Persamaan : ! $!%!80 ø1 0 ø2 0 ø# $5%'!1 ø! 0 ø5 $1%5#9 ø% 0

Persamaan : 5 0 ø1 $191'2 ø2 $22985 ø# 0 ø! $%2812 ø5 #8%05 ø% 0

Persamaan : % 0 ø1 22985 ø2 2%%0% ø# $1%5#9 ø! #8%05 ø5 $!%#22 ø% 0

1 ø1 $02915 ø# $08192 ø!

2 ø2 $0%1!% ø# $0#052 ø5 0#%59# ø%

!82058 ø# 1#5!8 ø!

2#'2' ø# 11'8# ø5 $1!12' ø%

$!%#22 ø# $22985 ø5 2%%0% ø%

$1'''! ø# 1#5!8 ø! $11202 ø5 12!'9 ø%

# ø# 0'%22! ø! $0%#0 ø5 0'0212 ø%

1#5!8 ø# #80'5 ø!

$5%'!1 ø! $1%5#9 ø%

1#5!8 ø# $18%%% ø! $1%5#9 ø%

10#2' ø! $85#8! ø5 951212 ø%

$8##89 ø! $85#8! ø5 $'02%! ø%

4 $8##89 ø! $85#8! ø5 $'02%! ø% 0

ø! $102#9 ø5 $08!2% ø%

11'8# ø# 58515' ø5 $'0155 ø%

$22985 ø# $%2812 ø5 #8%05 ø%

$11202 ø# $5%9%0 ø5 #1590 ø%

$85#8! ø! '0598! ø5 $'8%!9 ø%

5 $85#8! ø! '0598! ø5 $'8%!9 ø% 0

5 8'!2%9 ø5 '19!!8 ø% 0

ø5 $08229 ø%

$1!12' ø# $'0155 ø5 8!1091 ø%

2%%0% ø# $1%5#9 ø! #8%05 ø5 $!%#22 ø%

12!'9 ø# $1%5#9 ø! #1590 ø5 $#'911 ø%

951212 ø! $'8%!9 ø5 8'%18! ø%

$'02%! ø! 2#'25 ø5 $291!9 ø%

6 $'02%! ø! 2#'25 ø5 $291!9 ø% 0

'19!!8 ø5 5920!! ø%

#0919 ø5 $2#228 ø%

6 #0919 ø5 $2#228 ø%

ø5 0'512% ø%

ø5 = -0.8229 ø6

ø4 = 0 ø6

ø3 = 1.22 ø6

ø2 = -0.1332 ø6

ø1 = -0.3558 ø6

Normalisasi :

1.81983 ø6 = 1

ø6 = 0.549503018

maka :

ø5 = -0.4522

ø4 = 0

ø3 = 0.67081

ø2 = -0.0732

ø1 = -0.1955

Perhitunan φ

√ φ12+φ22+φ32+φ 42+φ52+φ62=1

perhitungan phi 1 (stlh kx)

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