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[OPTN]-[MAT/VCT]-[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/VCT)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/VCT)6(g)6(g)1(Vct)
av(A)*1(Vct)al(B)w
:(
Mat A × Vct B) ﻩﺎﻧﺩﺃ ﲔﺤﺿﻮﳌﺍ ﻪﺠﺘﳌﺍﻭ ﺔﻓﻮﻔﺼﳌﺍ ﺏﺮﺿ ﻞﺻﺎﺣ ﺩﺎﺠﻳﻹ 3 ﻝﺎﺜﳌﺍ
Mat A = Vct B =
K2(MAT/VCT)1(Mat)
av(A)*6(g)6(g)
1(Vct)al(B)w
.ﺩﺎﻌﺑﻷﺍ ﺲﻔﻧ ﺎﻤﻬﻟ ﻥﻮﻜﻳ ﻥﺃ ﺐﺠﻳ ،ﺎﻬﻤﺣﺮﻃ ﻭﺃ ﲔﻬﺠﺘﻣ ﻊﻤﺟ ﺪﻨﻋ •
.mﻭ n ﻖﺑﺎﻄﺗ ﺐﺠﻳ ،
Vct B (m × 1) ﻪﺠﺘﳌﺍﻭ Vct A (1 × n) ﻪﺠﺘﳌﺍ ﺏﺮﺿ ﺪﻨﻋ •
[OPTN]-[MAT/VCT]-[DotP] ﻲﺳﺎﻴﻘﻟﺍ ﺏﺮﻀﻟﺍ u
ﻩﺎﻧﺩﺃ ﲔﻬﺠﺘﻤﻠﻟ ﻲﺳﺎﻴﻘﻟﺍ ﺏﺮﻀﻟﺍ ﻞﺻﺎﺣ ﺩﺎﺠﻳﻹ ﻝﺎﺜﳌﺍ
Vct A = [ 1 2 ] Vct B = [ 3 4 ]
K2(MAT/VCT)6(g)6(g)
2(DotP( )1(Vct)av(A),
1(Vct)al(B))w
3
4
1 2
2 1
1
2
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