设矩阵A=0100001000010000,则A3的秩为_.
问题描述:
设矩阵A=
,则A3的秩为______.
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
答
由于A=
,
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
则A3=
,
0 0
0
0 0
0
0 0
0
1 0
0
0
0
0
0
所以r(A)=1
故答案为:1.