User Manual

2-56
[OPTN] - [MAT/VCT] - [Rref] ﻝﺰﺘﺍ ﻒﺼﻟﺍ ﻖﺴﻧ ﻞﻜﺷ u
.ﺔﻓﻮﻔﺼﻤﻠﻟ ﻝﺰﺘﺍ ﻒﺼﻟﺍ ﻖﺴﻧ ﻞﻜﺷ ﺩﺎﺠﻳﻹ ﺮﻣﻷﺍ ﺍﺬﻫ ﻡﺪﺨﺘﺴﻳ
:ﺔﻴﻟﺎﺘﻟﺍ ﺔﻓﻮﻔﺼﻤﻠﻟ ﻝﺰﺘﺍ ﻒﺼﻟﺍ ﻖﺴﻧ ﻞﻜﺷ ﻑﺎﺸﺘﻛﻻ ﻝﺎﺜﳌﺍ
= A ﺔﻓﻮﻔﺼﻤﻟﺍ
K2(MAT/VCT) 6( g) 5(Rref)
6( g) 1(Mat) av (A) w
.ﺔﻀﻔﺨﻨﳌﺍ ﻡﺎﻗﺭﻸﻟ ﺔﺠﻴﺘﻧ ﺔﻘﻴﻗﺪﻟﺍ ﺔﺠﻴﺘﻨﻟﺍ ﻝﺰﺘﺍ ﻒﺼﻟﺍ ﻖﺴﻧ ﻞﻜﺷ ﻭ ﻒﺼﻟﺍ ﻖﺴﻧ ﻞﻜﺷ ﺕﺎﻴﻠﻤﻋ ﺞﺘﻨﺗ ﻻ ﺪﻗ •
[ x
–1
] ﺔﻓﻮﻔﺼﳌﺍ ﺲﻛﺎﻌﺗ u
:ﺔﻴﻟﺎﺘﻟﺍ ﺔﻓﻮﻔﺼﳌﺍ ﺲﻜﻌﻟ ﻝﺎﺜﳌﺍ
= A ﺔﻓﻮﻔﺼﻤﻟﺍ
K2(MAT/VCT) 1(Mat)
av(A) !)( x
–1
) w
ﺔﻓﻮﻔﺼﳌﺍ ﺲﻜﻋ ﺔﻟﻭﺎﺤﻣ ﺪﻨﻋ ﺄﻄﳋﺍ ﺙﺪﺤﻳ .(ﺓﺪﻤﻋﻷﺍ ﻭ ﻑﻮﻔﺼﻟﺍ ﺩﺪﻋ ﺲﻔﻧ ) ﺎﻬﺴﻜﻋ ﻦﻜﳝ ﺔﻴﻌﻴﺑﺮﺘﻟﺍ ﺕﺎﻓﻮﻔﺼﳌﺍ ﻂﻘﻓ •
.ﺔﻴﻌﻴﺑﺮﺗ ﺮﻴﻐﻟﺍ
ﻥﻮﻜﺗ ﻲﺘﻟﺍ ﺔﻓﻮﻔﺼﳌﺍ ﺲﻜﻋ ﺔﻟﻭﺎﺤﻣ ﺪﻨﻋ ﺄﻄﳋﺍ ﺙﺪﺤﻳ .ﺮﻔﺼﻟﺍ ﻦﻣ ﺔﺒﻳﺮﻗ ﺎﻬﺗﺍﺩﺪﺤﻣ ﻥﻮﻜﺗ ﻲﺘﻟﺍ ﺔﻓﻮﻔﺼﳌﺍ ﺲﻜﻋ ﻦﻜﳝ ﻻ •
.ﺮﻔﺼﻟﺍ ﻦﻣ ﺔﺒﻳﺮﻗ ﺎﻬﺗﺍﺩﺪﺤﻣ
.ﺮﻔﺼﻟﺍ ﻦﻣ ﺔﺒﻳﺮﻗ ﺎﻬﺗﺍﺩﺪﺤﻣ ﻥﻮﻜﺗ ﻰﺘﻟﺍ ﺔﻓﻮﻔﺼﻤﻠﻟ ﺔﻴﺑﺎﺴﳊﺍ
ﺕﺎﻴﻠﻤﻌﻟﺍ ﺔﻗﺩ ﺮﺛﺄﺘﺗ
•
.ﻩﺎﻧﺩﺍ ﺔﻨﻴﺒﳌﺍ ﻁﻭﺮﺸﻟﺍ ﺔﺳﻮﻜﻌﳌﺍ ﺔﻓﻮﻔﺼﳌﺍ ﻲﻓﻮﺘﺴﺗ ﻥﺍ ﺐﺠﻳ •
A A
–1
= A
–1
A = E =
1 0
0 1
. A
–1
ﺔﻓﻮﻔﺼﳌﺍ ﺱﻮﻜﻌﻣ A ﺔﻓﻮﻔﺼﳌﺍ ﺲﻜﻌﻟ ﻡﺪﺨﺘﺴﺗ ﻲﺘﻟﺍ ﺔﻐﻴﺼﻟﺍ ﻲﻟﺎﺘﻟﺍ ﺽﺮﻌﻳ ﻭ
A =
a b
c d
A
–1
=
1
ad – bc
d–b
–c a
.ad – bc ≠ 0 ﻥﺃ ﻆﺣﻻ
2 −1 3 19
1 1 −5 −21
0 4 3 0
1 2
3 4