AB*A=114,AB*B=304.AB*BA=3154.问A=?B=?

AB*A=114,AB*B=304.AB*BA=3154.问A=?B=? 方阵A,B满足A+B=AB 证明A,B可交换,即AB=BA 设A(A+B)=E,证明AB=BA n阶矩阵AB满足A+2B=AB证明AB=BA 对于实数a、b，满足a+b=-3，ab=1，试求ba+ab 设A,B是n阶方阵,满足AB=A-B,证明AB=BA A.B为n阶方阵且A+B+AB=0,证明AB=BA? 设A.B都是n级矩阵,且A+B=AB,求证：AB=BA 当AB=BA时,证明:rank(A+B) ABBA除以BA+AB=AA A是多少?B是多少? 设方阵A ,B满足AB=aA+bB,ab为常数切ab不等于0 证明AB=BA A,B是正定矩阵 AB=BA 证明AB也为正定矩阵