设4阶方阵满足|3E+A|=0 ,AAT=2E,|A|

问题描述:

设4阶方阵满足|3E+A|=0 ,AAT=2E,|A|

由A是4阶方阵,且AAT=2E,得 |A|^2 = |AAT| = |2E| = 2^4 = 16.
又由|A|