22．设方阵A^3满足A^3-A^2+2A-E=0,证明:A及A-E均可逆.

22．设方阵A^3满足A^3-A^2+2A-E=0,证明:A及A-E均可逆. 设方阵A满足A^3-A^2+2A-E=0 ,证明: A及A-E均可逆. 设4阶方阵满足|3E+A|=0 ,AAT=2E,|A| 设4阶方阵满足|3E+A|=0 ,AAT=2E,|A| 设方阵A满足A²+3A-2E=0,证明方阵A+3E可逆,并求A+3E的逆矩阵. 设方阵A满足2A^2+A-3E=0证明3E-A可逆 线性代数中,设方阵A满足A^2-2A+3E=0,如何证明 A-3E可逆. 设方阵A满足等式A^2-3A-10E=0,证明A-4E可逆. 设N阶方阵A满足A^2-A-3I=0,怎么得出A-I可逆 设方阵A满足A2(平方)-3A-2E=0,求(A-E)(-1次方)=? 设4阶方阵A满足/A+3E/=0,AA^T=2E,矩阵/A/ 设4阶方阵A满足条件：| 3 I ＋A | = 0,AAT= 2I,| A | ＜ 0,求A*的一个特征值．RT 设4阶方阵|A|=2,求|3A| 设方阵a满足e-2a-3a^2+4a^3+5a^4-6a^5=0证明e-a可逆 设方阵A满足A^2-6A+8E=0,且A转置=A,试证A-3E为正交矩阵 设方阵A满足A^-3A+I=0 试证A可逆 设n阶方阵a满足a^2-2i=0,试证方阵a-i可逆还有 设n阶方阵A满足:A^2+2A-3E=0,证明:R(A+3E)+R(A-E)=n