Plz suggest me a 8x8 symmetrical matrix for which sum of each row as well as column is 100. if possible, please provide me the Matlab code also.
10 10 10 10 10 10 20 20
10 20 20 10 10 10 10 10
10 20 20 10 10 10 10 10
10 10 10 20 20 10 10 10
10 10 10 20 20 10 10 10
10 10 10 10 10 20 20 10
20 10 10 10 10 20 10 10
20 10 10 10 10 10 10 20
Is like this matrix that you are looking for?
10 10 10 10 10 10 20 20
10 20 20 10 10 10 10 10
10 20 20 10 10 10 10 10
10 10 10 20 20 10 10 10
10 10 10 20 20 10 10 10
10 10 10 10 10 20 20 10
20 10 10 10 10 20 10 10
20 10 10 10 10 10 10 20
Is like this matrix that you are looking for?
Assma Azeroual.. this matrix satisfy all the conditions I have mentioned. but it would be better if numbers are more randomized (other than 10, 20 too frequently)
You can use the magic matrix. In octave or matlab type the following:
10/26*magic(8)
The result is something like this:
ans =
24.61538 0.76923 1.15385 23.46154 23.07692 2.30769 2.69231 21.92308
3.46154 21.15385 20.76923 4.61538 5.00000 19.61538 19.23077 6.15385
6.53846 18.07692 17.69231 7.69231 8.07692 16.53846 16.15385 9.23077
15.38462 10.00000 10.38462 14.23077 13.84615 11.53846 11.92308 12.69231
12.30769 13.07692 13.46154 11.15385 10.76923 14.61538 15.00000 9.61538
15.76923 8.84615 8.46154 16.92308 17.30769 7.30769 6.92308 18.46154
18.84615 5.76923 5.38462 20.00000 20.38462 4.23077 3.84615 21.53846
3.07692 22.30769 22.69231 1.92308 1.53846 23.84615 24.23077 0.38462
You can play with the decimals to get nicer results, but this is exactly what you want.
इस sudoku को हल करने के लिए कई programming लिपियाँ C में उपलब्ध हैं |
Peter´s sentences
[When you see a power of two, ask yourself who left you such a clue and why]
and
This is showing a lack of engineering thinking. When you have a problem, think how to break it into parts, and how to put the solutions back together again to get what you originally wanted.
are of great value.
"Assma Azeroual.. this matrix satisfy all the conditions I have mentioned. but it would be better if numbers are more randomized (other than 10, 20 too frequently)"
And how come you cannot modify this yourself?
A B C D E F G H
B C D E F G H A
C D E F G H A B
D E F G H A B C
E F G H A B C D
F G H A B C D E
G H A B C D E F
H A B C D E F G
Any random row with the sum of 100 works
100 : 8 = 12,5; create two numbers: 12, 13
12, 13, 12, 13, 12, 13, 12, 13
Remove from 12 (or 13) and add to 13 (or 12) to balance (always the same amount) to create a row...
1 5 7 10 15 18 20 24
5 7 10 15 18 20 24 1
7 10 15 18 20 24 1 5
10 15 18 20 24 1 5 7
15 18 20 24 1 5 7 10
18 20 24 1 5 7 10 15
20 24 1 5 7 10 15 18
24 1 5 7 10 15 18 20
Why do not you simply set the diagonal to 100? E.g in MATLAB: A = zeros(8); and then
A(1:8+1:8*8) = 100; The matrix will be as such:
100 0 0 0 0 0 0 0
0 100 0 0 0 0 0 0
0 0 100 0 0 0 0 0
0 0 0 100 0 0 0 0
0 0 0 0 100 0 0 0
0 0 0 0 0 100 0 0
0 0 0 0 0 0 100 0
0 0 0 0 0 0 0 100
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