A=
0 1 0
0 0 1
0 0 0
r(A)=2, 特征值0的几何重数为 3-2=1
B=
0 0 1
0 0 0
0 0 0
r(B)=1, 特征值0的几何重数为 3-1=2
C=0 零矩阵.
r(C)=0, 特征值0的几何重数为 3-0=3
则A,B,C满足要求
它们两两不相似
因为它们的秩不同, 故不相似 --相似矩阵的秩相同
Find 3 x 3 matrices A,B,and C each with characteristic polyn
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