fismat operasi vektor
TRANSCRIPT
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8/17/2019 Fismat Operasi Vektor
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8/17/2019 Fismat Operasi Vektor
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8/17/2019 Fismat Operasi Vektor
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#%a,i ( Tu%u a a,a /uatu a%ah t %t tu a,alah & ' *%a,i( ,ala' a%ah t %/ +ut9
Ti :au /i/t ' & %,i at /ili , % 5a * ,i 5ata&a
;a * + %a%ti :i&a .a%ia+ l + %u+ah (, *a ,a t ta ) 'a&a,a at ,i 5ata&a 9 "al i i + %a%ti & ' ,a%i a,alah /aatatau ,i 5ata&a / +a*ai 9
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8/17/2019 Fismat Operasi Vektor
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#%a,i () i&a .a%ia+ l + %u+ah , *a ,a t ta - 'a&a
A%ti 5a- & ' ,a%i a,alah /aat atau ,i 5ata&a/ +a*ai 9 a&a *%a,i 5a
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8/17/2019 Fismat Operasi Vektor
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#%a,i ()< tu& $'u' Suatu /i/t ' & %,i at , *a .a%ia+ l=.a%ia+ l & ' ,ala' a%aha,alah :i&a , *a a,alah fa&t % /&ala9
A%ti 5a- & ' ,ala' a%ah a,alah
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8/17/2019 Fismat Operasi Vektor
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Di. %* /i ()i/al&a . &t % V ,i 5ata&a ,ala' & ' =
& ' 5a
#%a,i Fu */i a,alah
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8/17/2019 Fismat Operasi Vektor
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Di. %* /i ()D *a ' **u a&a %/a'aa ,a i, tita/ %a/i . &t % 'a&a,i,a at&a ,i. %* /i V
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8/17/2019 Fismat Operasi Vektor
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La la ia ()
a&a- , *a ' **u a&a %/a'aa *%a,i ,a,i. %* /i ,i,a at&a
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8/17/2019 Fismat Operasi Vektor
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u%l ()Suatu . &t % ,ala' /i/t ' & %,i at u'u' ,a at ,i 5ata&a / +a*ai
+ %i&ut
Sa'a / %ti ' a%i &ita ,a at ' 'u&a 9
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8/17/2019 Fismat Operasi Vektor
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T / % T / % ' %u a&a * %ali/a/i ,a%i /&ala% ,a . &t %9
S&ala% t / % %, l9 ' u 5ai & ' / +a 5a&+uah
V &t % t / % %, /atu- ' ' u 5ai & ' / +a 5a&+uah
a,i- t / % %, 2 ' 'ili&i > +uah ,ala' ,i' /i ti*a9 I i ti,a&lai ' %u a&a % % / ta/i ,a%i t / % %, ,ua9 a,i 'at%i&/' %u a&a % % / ta/i ,a%i t / % %, ,ua9
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8/17/2019 Fismat Operasi Vektor
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T / % Ka%t /ia T / % %, ,ua ,i 5ata&a ,ala'
Ti :au ,ua +uah . &t % U ,a V ,ala' /i/t ' & %,i at &a%t /ia 5a *& ' 5a 'a/i *='a/i * ,i 5ata&a , *a ,a - ,i% t % ,u t a ta%a& ,ua 5a ,i % l h / +a*ai + %i&ut9
a,i t / % %, ,ua ,i,a at&a ,a%i direct product ,ua t / % %, %ta'a9 D
'a/ih &ita i *at % ta/i /u'+u & %,i at /uatu titi& ha/il 5a a,alah- 9 Di 5ata&a,ala' 'at%i&/ A
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8/17/2019 Fismat Operasi Vektor
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T / % Ka%t /iaSuatu t%a /f %'a/i /u'+u & %,i at ,i 5ata&a ,ala' 'at%i&/ , *a a a+ila,i% ta/i ,i % l h
Dala' ta/i lai ,ituli/&a , *a
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8/17/2019 Fismat Operasi Vektor
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T / % Ka%t /ia< *itu :u*a u tu& . &t % V + %u a ,a at ,i 5ata&a
Ka% a direct product ,ua +uah . &t % ' '+ tu& /uatu t / % %, 2- 'a&a product ,a%i U’ dan V’ menghasilkan tensor
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8/17/2019 Fismat Operasi Vektor
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O %a/i T / %K . %/i P :u'laha
t h t / % %, 2 ,ala' %ua * 3 ,i' /i
Pa,a t h 1 i , &/ i + %ula * / hi **a :u'laha,ila&u&a t %ha,a i , &/ i t %/ +ut- / ,a *&a a,a t h& ,ua - i , &/ 5a * + %ula * a,alah i , &/ : / hi **a
:u'laha 5a * ,ila&u&a t %ha,a i , &/ :9
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8/17/2019 Fismat Operasi Vektor
15/19
! ta/i K% & % ,a /i'+ l L .i=i.ita
Dala' %a/i t / % / %i * ,i a&ai ta/i lai 5a * ,i/ +ut ta/i&% & % ( , *a i , &/ ,a
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8/17/2019 Fismat Operasi Vektor
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! ta/i K% & % ,a /i'+ l L .i=i.ita
S ' ta%a L .i= i.ita ( ,i, 6 i/i&a
Si'+ l L .i= i.ita ,a at ,i*u a&a u tu& ' uli/&aatu%a /i&li& a,a %a/i . &t % cross-product .. &t % /atua ,ala' /i/t ' & %,i at %th * al9
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8/17/2019 Fismat Operasi Vektor
17/19
Si/t ' K %,i at $'u't h
Dala' /i/t ' & %,i at + la .a%ia+ l=.a%ia+ l 5a ,i 5ata&a , *a 9 "u+u *a.a%ia+ l=.a%ia+ l t %/ +ut , *a .a%ia+ l=.a%ia+ l ,ala' /i/t ' & %,i at &a%t /iaa,alah
a&a ,i % l h
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8/17/2019 Fismat Operasi Vektor
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Si/t ' & %,i at $'u'D *a , 'i&ia a +ia t%a /f %'a/i i i a,alah
D *a , 'i&ia :i&a i t *%al li at ti*a ,a%i . lu' ,i 5ata&a
a&a-
Atau , *a &ata lai - l ' . lu' ,ala' & %,i at + la a,alah
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8/17/2019 Fismat Operasi Vektor
19/19
TERIMAKA
SIH