若三阶方阵A满足/A/=/A+2E/=/2A-3E/=0,则/2A+3E/=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/17 02:00:00
若三阶方阵A满足/A/=/A+2E/=/2A-3E/=0,则/2A+3E/=?
x){ѽɎΗ3=匭v/|m+2r5:O;f9 MR>z l(Q;۵ƶƱF;B;[Mº°)1*16Զ5fTckTahQkdUcbTmd(oSak Ӭ ա ԡkha_\gl v

若三阶方阵A满足/A/=/A+2E/=/2A-3E/=0,则/2A+3E/=?
若三阶方阵A满足/A/=/A+2E/=/2A-3E/=0,则/2A+3E/=?

若三阶方阵A满足/A/=/A+2E/=/2A-3E/=0,则/2A+3E/=?
|A+kE|=|A|+kx+k²y+k³
|A+2E|=2x+4y+8=0
|2A-3E|=8|A+3E/2|=-12x+18y-27=0
42y+21=0,y=-1/2,x=-3
|2A+3E|=12x+18y+27=-18