计算下列方阵的方幂(其中n为正整数):
(010
001
000)n
当n=1时,原式= (0 1 0 0 0 1 0 0 0) 当n=2时,原式= (0 1 0 0 0 1 0 0 0)n = (0 1 0 0 0 1 0 0 0) (0 1 0 0 0 1 0 0 0) = (0 0 1 0 0 0 0 0 0); 当n=3时,原式= (0 1 0 0 0 1 0 0 0)3 = (0 1 0 0 0 1 0 0 0)2 (0 1 0 0 0 1 0 0 0) = (0 0 0 0 0 0 0 0 0) 当n>3时,原式= (0 0 0 0 0 0 0 0 0) 即当n≥3时,原式= (0 0 0 0 0 0 0 0 0)