3阶方阵A,且|A-E|=|A+2E|=|2A+3E|=0求|A*-3E|
设A为N阶方阵,且A-E可逆,A^2+2A-4E=0,求A+3E的逆方阵
设A为三阶方阵,且|A+E|=|A+2E|=|2A+3E|=0,则|2A*-3E|=?
设A是三阶方阵,且|A-E|=|A+E|=|A+3E|=0,则|A^2-2A+3E|=
若A为三阶方阵,且|A+2E|=0,|2A+E|=0,|3A–4E|=0,则|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.
A为3阶矩阵,|A-E|=|A-2E|=|A-3E|=0,求|A*-E|
A为方阵,且A^3-A^2+2A-E=0,求A的逆矩阵
已知四阶方阵A满足|A-E|=0,方阵B=A^3-3A^2,满足BB^T=2E,且|B|
已知n阶方阵A满足2A(A-E)=A^3,证明E-A可逆,并求(E-A)^(-1)
设4阶方阵满足|3E+A|=0 ,AAT=2E,|A|
设A为n阶方阵,且(A-E)可逆,A^2+2A-4E=0.证明(A+3E)可逆,并求(A+3E)^-1
设方阵A满足A^3-A^2+2A-E=0 ,证明: A及A-E均可逆.