Discovering an interesting phenomenon in Rubik's Cube

Yesterday, a Matlab 6.5 was installed on the machine, and an interesting phenomenon was accidentally discovered:
The value of the rank n cube array is equal to zero. Condition is (N Mode 2 = 0 and N> 2 );

I did the following verification:

> A = magic (4)

A =

16 2 3 13
5 11 10 8
9 7 6 12
4 14 15 1

> Det ()

Ans =

0

========================================================== ======================================

> A = magic (6)

A =

35 1 6 26 19 24
3 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 ()

Ans =

0

========================================================== ======================================

> A = magic (8)

A =

64 2 3 61 60 6 7 57
9 55 54 12 13 51 50 16
17 47 46 20 21 43 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 ()

Ans =

0

When N is set to 100 or 1000, it has the same conclusion.

I don't know if this is a pattern that everyone has discovered. Or who has provided proof.