So
al 5 x 5
A B
D C
E 200
100 400
100 100
500 250 150
100 150
50
50
100 + 200 + 400 + TB – 4TA = 0 >>> 4TA – TB = 700
100 + 500 + TA + TD – 4TB = 0 >>> -TA + 4TB - TD = 600 100 + 100 + 100 + TD – 4TC = 0 >>> 4TC – TD = 300
50 + TB + TC + TE – 4TD = 0 >>> -TB – TC – TE + 4TD = 50
250 + 150 + 50 + TD – 4TE = 0 >>> -TD + 4TE = 550
[ − 4 0 0 0 1 −1 − 4 0 0 1 − 0 0 4 0 1 − −1 −1 0 4 1 − 0 0 0 4 1 ] [ TD TC TE TA TB ]
=[ 700 600 300 550 50 ]
[ TD TC TA TB TE ]
=[ 236,34021 245.36082 111.27577 145.10309 173.77577 ]
So
al 5 x 5
100 + 350 + TB + TE – 4TA = 0 >>> 4TA – TB - TE = 450 150 + 300 + TA + TC – 4TB = 0 >>> -TA + 4TB – TC = 450 250 + 250 + 250 + TB – 4TC = 0 >>> – TB + 4TC = 750 50 + 120 + 110 + TE – 4TD = 0 >>> 4TD – TE = 280
150 + 80 + TA + TD – 4TE = 0 >>> -TA - TD + 4TE = 230
[ −1 − 4 0 0 1 − − 4 0 0 1 1 −1 0 4 0 0 − 0 0 0 4 1 − −1 0 0 4 1 ] [ TD TC TE TA TB ]
=[ 450 450 750 280 230 ] [ TD TC TA TB TE ]
=[ 201.92308 223.84615 243.46154 103.46154 133.84615 ]
A
B
D
C
E 100
150 350
300
110
250
250
50
120
250
80
150
So
al 5 x 5
40 + 30 + TB + TC – 4TA = 0 >>> 4TA – TB - TC = 70 50 + 90 + 10 + TA – 4TB = 0 >>> -TA + 4TB = 150 50 + 15 + TA + TE – 4TC = 0 >>> –TA + 4TC - TE = 65 75 + 40 + 35 + TE – 4TD = 0 >>> 4TD – TE = 150 45 + 80 + TC + TD – 4TE = 0 >>> -TC - TD + 4TE =125
[
−1−1400 −14000 −1−1040 −10004 −1−1004] [
TDTCTETATB]
=[
1501501257065] [
TDTCTATBTE]
=[
39.20512847.30128239.51923150.96794953.871795]
A
B
D
C
E 40
50
35
10 30
15
75
50 40
90
80
45
SCILAB MATRIKS 5X5
So
al 6 x 6
100 + 300 + TB + TD - 4TA = 0 >>> 4TA - TB – TD = 400 150 + 200 + TA + TC – 4TB = 0 >>> 4TB – TA – TC = 350 100 + 150 + TB + TD – 4TC = 0 >>> - TB + 4TC – TD = 250 200 + TA + TC + TE - 4TD = 0 >>> - TA – TC – TE + 4TD = 200 200 + 250 + TD + TF – 4TE = 0 >>> - TD + 4TE – TF = 450 100 + 150 + 200 + TE – 4TF = 0 >>> - TE + 4TF = 450
[
−400001 −1−14000 −040001 −1−1−1040 −−000411 −100004] [
TDTCTETFTATB]
=[
400350250200450450] [
TDTCTFTATBTE]
=[
163.39286159.82143125.89286156.2593.75175]
A
100
250
200 100
200 200
150
100 200
150 300
150
D
F
E
C
B
So
al 6 x 6
40 + 30 + 50 + TB - 4TA = 0 >>> 4TA - TB = 120
TA + TC + TD + TE – 4TB = 0 >>> 4TB – TA – TC – TD – TE = 0 75 + 55 + TB + TF – 4TC = 0 >>> 4TC – TB – TF = 130
25 + 25 + 10 + TB - 4TD = 0 >>> 4TD – TB = 65 70 + 16 + TB + TF – 4TE = 0 >>> 4TE – TB – TF = 86 5 + 5 + TC + TE – 4TF = 0 >>> 4TF – TC – TE = 10
[
−140000 −−−1−40111 −1−10400 −100400 −1−10004 −−000411] [
TDTCTETFTATB]
=[
1201306586100]
A
5 70
40
75 25
55
100 20
10
30
50
D
F E
B C
16
5
[
TDTCTFTATBTE]
=[
39.33841537.35365947.74390225.58841536.74390223.621951]
So
al 6 x 6
SCILAB MATRIKS 6x6
So
al 7 x 7
400 + 100 + 150 + TB - 4TA = 0 >>> 4TA - TB = 650
TA + TC + TD + TE – 4TB = 0 >>> – TA + 4TB – TC - TD – TE = 0 100 + TB + TF + TG – 4TC = 0 >>> - TB + 4TC - TF - TG = 100 200 + 25 + 150 + TB - 4TD = 0 >>> - TB + 4TD = 375
200 + 70 + TB + TF – 4TE = 0 >>> - TB + 4TE – TF = 270 50 + 50 + TC + TE – 4TF = 0 >>> - TC - TE + 4TF = 100 50 + 150 + 250 + TC – 4TG = 0 >>> - TC + 4TG = 450
[ −1 4 0 0 0 0 0 −1 −1 −1 −1 4 0 0 −1 − −1 0 4 0 0 1 −1 0 0 4 0 0 0 −1 − 0 0 0 4 0 1 −1 −1 −1 0 0 4 0 −1 0 0 0 0 0 4 ] [ TC TD TF TG TA TB TE ]
=[ 650 100 375 270 100 450 0 ] [ TC TD TF TG TA TB TE ]
=[ 205.82448 173.29792 126.89506 137.07448 133.33912 90.058543 144.22376 ]
A
50 70
400
250 25
200 100
150
100
150
D
F E
B C
200
50
G 150
50
So
al 7 x 7 A
50 70
400
250 25
200 100
150
100
150
D
F E
B C
200
50
G 150
50
So
al 8 x 8
100 + 100 + 150 + TB - 4TA = 0 >>> 4TA - TB = 350
TA + TC + TD + TH – 4TB = 0 >>> – TA + 4TB – TC – TD - TH = 0 70 + 20 + 20 + TB – 4TC = 0 >>> - TB + 4TC = 110
200 + 100 + TB + TE - 4TD = 0 >>> - TB – TE + 4TD = 300 250 + 100 + TD + TG – 4TE = 0 >>> - TD + 4TE – TG = 350 50 + 20 + 100 + TG – 4TF = 0 >>> - TG + 4TF = 170 50 + 25 + TE + TF – 4TG = 0 >>> - TE – TF + 4TG = 75 100 + 50 + 25 + TB – 4 TH = 0 >>> - TB + 4TH = 175
[ − 4 0 0 0 0 0 0 1 −1 −1 − − 4 0 0 0 1 1 − 0 4 0 0 0 0 0 1 − −1 0 0 4 0 0 0 1 − −1 0 0 0 4 0 0 1 −1 0 0 0 0 0 4 0 −1 − 0 0 0 0 4 0 1 − 0 0 0 0 0 0 4 1 ] [ TC TD TG TH TB TE TF TA ]
=[ 350 110 300 350 170 175 25 75 ]
A 100
25 25
100
150
B
20
G 50
50 C
D E
20 20 F 100
100 250
200 100
70
H 50
100
[ TC TD TG TH TB TE TF TA ]
=[ 97.751705 51.937926 133.94304 138.02046 59.534697 68.138789 68.187926 111.93793 ]
