>>M=[0,1,0,1,1,0,0,1,0,1,0,0;0,0,1,1,1,0,0,0,1,0,1,1;1,0,0,0,0,1,1,1,0,1,0,0;0,0,1,0,0,1,0,1,1,0,1,0;0,0,1,1,0,0,1,0,1,0,0,1;1,1,0,0,1,0,0,1,0,0,1,1;1,1,0,1,0,1,0,0,1,1,0,0;0,1,0,0,1,0,1,0,1,0,1,0;1,0,1,0,0,1,0,0,1,0,1,0;1,0,1,0,0,1,0,0,0,0,1,0;0,1,0,1,1,1,0,1,1,0,1,0;1,0,1,0,1,0,1,0,0,0,0,1]
M=
010110010100
001110001011
100001110100
001001011010
001100101001
110010010011
110101001100
010010101010
101001001010
101001000010
010111011010
101010100001
>>[P,D]=eig(M)
P=
Columns1through6
0.25230.0498+0.2330i0.0498-0.2330i-0.0782-0.0432i-0.0782+0.0432i0.1786
0.3159-0.1979+0.1062i-0.1979-0.1062i0.0624+0.1312i0.0624-0.1312i-0.1541
0.25810.0980-0.1683i0.0980+0.1683i-0.1051-0.1346i-0.1051+0.1346i0.0022
0.2841-0.0544-0.2707i-0.0544+0.2707i-0.1291+0.1591i-0.1291-0.1591i0.2755
0.2536-0.2827+0.1403i-0.2827-0.1403i0.0500-0.1487i0.0500+0.1487i-0.1603
0.32230.47910.4791-0.3091+0.1738i-0.3091-0.1738i-0.4361
0.3100-0.2603-0.0245i-0.2603+0.0245i0.52630.52630.0631
0.28640.0560+0.3840i0.0560-0.3840i0.0124-0.5223i0.0124+0.5223i0.2262
0.2778-0.1259-0.2559i-0.1259+0.2559i0.1685+0.1505i0.1685-0.1505i0.2216
0.2265-0.0137-0.3360i-0.0137+0.3360i0.1008+0.2707i0.1008-0.2707i-0.0299
0.39410.0638+0.0199i0.0638-0.0199i0.0240+0.0702i0.0240-0.0702i0.2289
0.24320.1505+0.0951i0.1505-0.0951i-0.2402-0.0428i-0.2402+0.0428i-0.7036
Columns7through12
-0.1714+0.2170i-0.1714-0.2170i-0.3048+0.1930i-0.3048-0.1930i-0.30210.1001
0.1367-0.0500i0.1367+0.0500i-0.0549-0.2453i-0.0549+0.2453i-0.2241-0.3702
-0.1134+0.0794i-0.1134-0.0794i-0.1000-0.1347i-0.1000+0.1347i-0.2866-0.3815
-0.2399-0.0226i-0.2399+0.0226i-0.3583+0.0772i-0.3583-0.0772i-0.19340.0923
0.1391+0.1006i0.1391-0.1006i-0.0442+0.0705i-0.0442-0.0705i-0.0829-0.3197
0.4485-0.2248i0.4485+0.2248i-0.0119-0.0956i-0.0119+0.0956i-0.0301-0.3822
-0.1215-0.0060i-0.1215+0.0060i-0.1451+0.1202i-0.1451-0.1202i-0.18280.0339
-0.1606+0.0810i-0.1606-0.0810i0.0486-0.1660i0.0486+0.1660i0.16460.1481
-0.1297+0.0941i-0.1297-0.0941i0.2404-0.0746i0.2404+0.0746i0.30130.1585
-0.1096-0.0935i-0.1096+0.0935i0.53990.53990.62080.3769
-0.1671-0.1938i-0.1671+0.1938i0.0401+0.2655i0.0401-0.2655i0.03330.3902
0.62030.62030.3640-0.0561i0.3640+0.0561i0.43970.3288
D=
Columns1through6
5.415800000
0-0.3347+2.0424i0000
00-0.3347-2.0424i000
000-0.3510+1.6000i00
0000-0.3510-1.6000i0
000000.8810