User Manual

2-49
[OPTN] - [MAT] - [Det] ﺕﺍﺩﺪﺤﻣ u
: ﺔﻴﻟﺎﺘﻟﺍ ﺔﻓﻮﻔﺼﻤﻠﻟ ﺓﺩﺪﶈﺍ ﻞﻴﺼﺤﺘﻟ ﻝﺎﺜﳌﺍ
1 2 3
4 5 6
−1 −2 0
= A ﺔﻓﻮﻔﺼﻣ
K2(MAT) 3(Det) 1(Mat)
av(A) w
ﻲﻓ ﺄﻄﳋﺍ ﺙﺪﺤﻳﻭ .(ﺓﺪﻤﻋﻷﺍ ﻭ ﻑﻮﻔﺼﻟﺍ ﺩﺪﻋ ﺲﻔﻧ) ﺔﻴﻌﻴﺑﺮﺘﻟﺍ ﺕﺎﻓﻮﻔﺼﻤﻠﻟ ﻂﻘﻓ ﺕﺍﺩﺪﶈﺍ ﻰﻠﻋ ﻝﻮﺼﳊﺍ ﻦﻜﳝ •
.ﺔﻴﻌﻴﺑﺮﺗ ﺮﻴﻏ ﺔﻓﻮﻔﺼﳌ ﺓﺩﺪﶈﺍ ﻞﻴﺼﲢ ﺔﻟﻭﺎﺤﻣ ﻝﺎﺣ
. ﻞﻔﺳﻻﺎﺑ ﺽﻭﺮﻌﻣ ﻮﻫ ﺎﻤﻛ
2 × 2 ﺔﻓﻮﻔﺼﳌ ﺕﺍﺩﺪﶈﺍ ﺐﺴﲢ •
| A | =
a
11
a
12
=a
11
a
22
–a
12
a
21
a
21
a
22
.ﻞﻔﺳﻻﺎﺑ ﺮﻬﻈﻳ ﺎﻤﻛ
3 × 3 ﺔﻓﻮﻔﺼﳌ ﺕﺍﺩﺪﶈﺍ ﺐﺴﲢ •
= a
11
a
22
a
33
+ a
12
a
23
a
31
+ a
13
a
21
a
32
– a
11
a
23
a
32
– a
12
a
21
a
33
– a
13
a
22
a
31
a
11
a
12
a
13
a
21
a
22
a
23
a
31
a
32
a
33
|A| =
[OPTN] - [MAT] - [Trn] ﺔﻓﻮﻔﺼﳌﺍ ﻞﻳﺪﺒﺗ u
. ﺎﻓﻮﻔﺻ ﺎﻬﺗﺪﻤﻋﺃ ﻭ ﺓﺪﻤﻋﺃ ﺎﻬﻓﻮﻔﺻ ﺢﺒﺼﺗ ﺎﻤﻨﻴﺣ ﺔﻓﻮﻔﺼﳌﺍ ﻞﻳﺪﺒﺗ ﻢﺘﻳ
:ﺔﻴﻟﺎﺘﻟﺍ ﺔﻓﻮﻔﺼﳌﺍ ﻞﻳﺪﺒﺘﻟ ﻝﺎﺜﳌﺍ
1 2
3 4
5 6
= A ﺔﻓﻮﻔﺼﻣ
K2(MAT) 4(Trn) 1(Mat)
av(A)w
× ﻒﺻ-n ﻪﺠﺘﻣ ﻰﻟﺇ ﺩﻮﻤﻋ-n × ﻒﺻ-1 ﻪﺠﺘﻣ ﻝ
ﱢ
ﻮﺤﻳ ﻮﻬﻓ .ﺎ
ﹰ
ﻀﻳﺃ ﻪﺠﺘﻣ ﻊﻣ "Trn" ﺮﻣﻷﺍ ﻡﺍﺪﺨﺘﺳﺍ ﻦﻜﳝ •
.ﺩﻮﻤﻋ-m × ﻒﺻ-1 ﻰﻟﺇ ﺩﻮﻤﻋ-1 × ﻒﺻ-m ﻪﺠﺘﻣ ﻝ
ﱢ
ﻮﺤﻳ ﻭﺃ ،ﺩﻮﻤﻋ-1