Yesterday machine installed a MATLAB 6.5, inadvertently found an interesting phenomenon: the row-of-order value of the N-order square is equal to zero. The condition is (n mode 2 = 0 and n> 2);
I did verify as follows:
>> A = MAGIC (4)
A =
16 2 3 13 5 11 10 8 9 7 6 12 4 14 15 1
>> DET (a)
ANS =
0
============================================================================================================================================================================================================= ================
>> A = MAGIC (6)
A =
35 1 6 26 19 24 32 7 21 23 25 31 9 2 22 27 20 8 28 33 17 10 15 30 5 34 12 14 16 4 36 29 13 18 11
>> DET (a)
ANS =
0
============================================================================================================================================================================================================= ==================
>> A = MAGIC (8)
A =
64 2 3 61 60 6 7 57 9 55 54 12 13 51 50 16 17 42 24 40 26 27 37 36 30 31 33 32 34 35 29 28 38 39 25 41 23 22 44 45 19 18 48 49 15 14 52 53 11 10 56 8 58 59 5 4 62 63 1
>> DET (a)
ANS =
0
The same conclusions are obtained when N take 100 or 1000.
I don't know if this is the law that everyone has discovered. Or who has given a certificate.
