2-61
.ﺔﻴﻤﻫﺃ ﻞﻗﻷﺍ ﻢﻗﺮﻟﺍ ﻲﻓ ±1 ﻲﻫ ﻪﺠﺘﻤﻠﻟ ﺔﻴﺑﺎﺴﳊﺍ ﺕﺎﻴﻠﻤﻌﻠﻟ ﺔﺿﻭﺮﻌﳌﺍ ﺞﺋﺎﺘﻨﻟﺍ ﺔﻗﺩ •
.ﻪﺠﺘﳌﺍ ﺔﺑﺎﺟﺇ ﺓﺮﻛﺍﺫ ﻲﻓ ﺎﻬﺟﺍﺭﺩﻹ ﻲﻐﺒﻨﻳ ﺎﳑ ﺮﺒﻛﺃ ﻪﺠﺘﳌ ﺔﻴﺑﺎﺴﺣ ﺔﻴﻠﻤﻋ ﺔﺠﻴﺘﻧ ﺖﻧﺎﻛ ﺍﺫﺇ ﺄﻄﺧ ﺙﺪﺤﻳ •
.ﺮﺧﺁ ﻪﺠﺘﻣ ﻰﻟﺇ ﻪﺠﺘﳌﺍ ﺔﺑﺎﺟﺇ ﺓﺮﻛﺍﺫ ﺕﺎﻳﻮﺘﺤﻣ ﻞﻘﻨﻟ ﺔﻴﻟﺎﺘﻟﺍ ﺔﻴﻠﻤﻌﻟﺍ ﻡﺍﺪﺨﺘﺳﺍ ﻦﻜﳝ •
VctAns → Vct α
ﺔﺑﺎﺟﺇ ﺓﺮﻛﺍﺫ ﺕﺎﻳﻮﺘﺤﻣ ﻲﻓ ﺔﻴﻠﻤﻌﻟﺍ ﻩﺬﻫ ﺮﺛﺆﺗ ﻻﻭ .
Z ﻰﻟﺇ A ﻦﻣ ﺮﻴﻐﺘﻣ ﻢﺳﺍ ﻱﺃ ﻰﻟﺇ α ﺮﻴﺸﺗ ،ﻩﻼﻋﺃ ﺔﻴﻠﻤﻌﻟﺍ ﻲﻓ
.ﻪﺠﺘﳌﺍ
ﺔﻴﻠﻤﻌﻟﺍ ﺮﺒﻋ ﺔﻓﻮﻔﺼﻣ ﺓﺮﻛﺍﺫ ﻰﻟﺇ ﻪﺠﺘﻣ ﺓﺮﻛﺍﺫ ﺕﺎﻳﻮﺘﺤﻣ ﲔﻴﻌﺗ ﻚﻨﻜﳝ ﺍﺬﻟ ؛ﺔﻓﻮﻔﺼﳌﺍ ﺓﺮﻛﺍﺫﻭ ﻪﺠﺘﳌﺍ ﺓﺮﻛﺍﺫ ﲔﺑ ﻖﻓﺍﻮﺗ ﺔﻤﺛ •
.ﺔﻴﻟﺎﺘﻟﺍ
Vct α → Mat β
.
Z ﻰﻟﺇ A ﻦﻣ ﺓﺮﻴﻐﺘﻣ ﺀﺎﻤﺳﺃ ﻱﺃ ﻰﻟﺇ β ﻭ α ﺮﻴﺸﺗ ،ﻩﻼﻋﺃ ﺔﻴﻠﻤﻌﻟﺍ ﻲﻓ
[OPTN]-[MAT/VCT]-[Vct] ﻪﺠﺘﳌﺍ ﺕﺎﻧﺎﻴﺑ ﻝﺎﺧﺩﺇ ﺔﻐﻴﺻ u
.Vct ﺮﻣﻷﺍ ﻡﺍﺪﺨﺘﺳﺎﺑ ﻪﺠﺘﻣ ﺀﺎﺸﻧﻹ ﺕﺎﻧﺎﻴﺒﻟﺍ ﻝﺎﺧﺩﺇ ﺪﻨﻋ ﺎﻬﻣﺍﺪﺨﺘﺳﺍ ﲔﻌﺘﻳ ﻲﺘﻟﺍ ﺔﻐﻴﺼﻟﺍ ﻲﻠﻳ ﺎﻣ ﺢﺿﻮﻳ
→
Vct [Z ﻰﻟﺇ A] [a
11
a
12
... a
1
n
] → Vct [Z ﻰﻟﺇ A]
[
1 2 3 ] :Vct A ﻪﺠﺘﳌﺍ ﻰﻟﺇ ﺔﻴﻟﺎﺘﻟﺍ ﺕﺎﻧﺎﻴﺒﻟﺍ ﻝﺎﺧﺩﺇ ﻰﻠﻋ ﻝﺎﺜﳌﺍ
!+( [ )!+( [ )b,c,d
!-( ] )!-( ] )a
K2(MAT/VCT)6(g)6(g)1(Vct)
av(A)w
.
999 ﻲﻫ n ﻭ m ﻦﻣ
ﱟ
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 ﺔﻧ
ﱠ
ﺰﺨﻣ ﻪﺠﺘﳌﺍ ﺕﺎﻧﺎﻴﺑ ﻥﻮﻜﺗ ﻥﺃ ﺽﺮﺘﻔ
ﹸ
ﻳ ،ﺔﻴﻟﺎﺘﻟﺍ ﺔﻠﺜﻣﻷﺍ ﻊﻴﻤﺟ ﻲﻓ
a11
a21
am1
...
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