2-51
[OPTN]-[MAT]-[Vct] ﻪﺠﺘﳌﺍ ﺕﺎﻧﺎﻴﺑ ﻝﺎﺧﺩﺇ ﺔﻐﻴﺻ u
.Vct ﺮﻣﻷﺍ ﻡﺍﺪﺨﺘﺳﺎﺑ ﻪﺠﺘﻣ ﺀﺎﺸﻧﻹ ﺕﺎﻧﺎﻴﺒﻟﺍ ﻝﺎﺧﺩﺇ ﺪﻨﻋ ﺎﻬﻣﺍﺪﺨﺘﺳﺍ ﲔﻌﺘﻳ ﻲﺘﻟﺍ ﺔﻐﻴﺼﻟﺍ ﻲﻠﻳ ﺎﻣ ﺢﺿﻮﻳ
→ Vct [A ﻰﻟﺍ Z] [a
11
a
12
... a
1
n
] → Vct [A ﻰﻟﺍ Z]
[ 1 2 3 ]
:Vct A ﻰﻟﺇ ﺔﻴﻟﺎﺘﻟﺍ ﺕﺎﻧﺎﻴﺒﻟﺍ ﻝﺎﺧﺩﻹ ﻝﺎﺜﳌﺍ
!+( [ )!+( [ )b,c,d
!-( ] )!-( ] )a
K2(MAT)6(g)6(g)1(Vct)
av(A)w
ﻪﺠﺘﳌﺍ ﻢﺳﺍ
.999 ﻲﻫ n ﻭ m ﻦﻣ
ﹼ
ﻞﻜﻟ ﻯﻮﺼﻘﻟﺍ ﺔﻤﻴﻘﻟﺍ •
.ﺕﺎﻧﺎﻴﺒﻟﺍ ﻝﺎﺧﺩﺇ ﺀﺎﻨﺛﺃ ﺓﺮﻛﺍﺬﻟﺍ ﺕﻸﺘﻣﺍ ﺍﺫﺍ ﺄﻄﺧ ﺙﺪﺤﻳ •
.ﻪﺠﺘﳌﺍ ﺕﺎﻧﺎﻴﺑ ﻝﺎﺧﺩﺇ ﻲﻓ ﻡﺪﺨﺘﺴﳌﺍ ﺞﻣﺎﻧﺮﺒﻟﺍ ﻞﺧﺍﺩ ﻩﻼﻋﺃ ﺔﻐﻴﺼﻟﺍ ﻡﺍﺪﺨﺘﺳﺍ ﺎﻀﻳﺃ ﻚﻨﻜﳝ •
.ﻞﻌﻔﻟﺎﺑ ﺓﺮﻛﺍﺬﻟﺍ ﻲﻓ ﺔ
ﹼ
ﻧﺰﺨﻣ ﻪﺠﺘﳌﺍ ﺕﺎﻧﺎﻴﺑ ﻥﻮﻜﺗ ﻥﺃ ﺽﺮﺘﻔ
ﹸ
ﻳ ،ﺔﻴﻟﺎﺘﻟﺍ ﺔﻠﺜﻣﻷﺍ ﻊﻴﻤﺟ ﻲﻓ
[OPTN]-[MAT]-[Vct] ﺎﻬﺑﺮﺿﻭ ﺎﻬﺣﺮﻃﻭ ﺕﺎﻬﺠﺘﳌﺍ ﻊﻤﺟ u
:(Vct A + Vct B) ﻩﺎﻧﺩﺃ ﲔﺤﺿﻮﳌﺍ ﲔﻬﺠﺘﳌﺍ ﻊﻤﺟ ﻞﺻﺎﺣ ﺩﺎﺠﻳﻹ 1 ﻝﺎﺜﳌﺍ
Vct A = [ 1 2 ] Vct B = [ 3 4 ]
K2(MAT)6(g)6(g)1(Vct)
av(A)+1(Vct)al(B)w
:(Vct A × Vct B) ﻩﺎﻧﺩﺃ ﲔﺤﺿﻮﳌﺍ ﲔﻬﺠﺘﳌﺍ ﺏﺮﺿ ﻞﺻﺎﺣ ﺩﺎﺠﻳﻹ 2 ﻝﺎﺜﳌﺍ
Vct A = [ 1 2 ] Vct B =
K2(MAT)6(g)6(g)1(Vct)
av(A)*1(Vct)al(B)w
a11
a21
am1
...
3
4
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