立方矩阵A =(1,a,a)(a,1,a)(a,a,1)的等级A是2,a =

发布时间:2019-09-23 09:07:19   编辑:admin浏览人次:150

质量响应
| A | = | 1,a,a)(a,1,a)(a,a,1 | = | 2a + 1,a,a)(2a + 1,1,a)(2a + 1,a),1 | = | 1)2a + 1,a,a)(0,1?A,0)(0,0,1?A | =(2a + 1)(1?A)= 0a =?1 /2或a = 11。
a = -1 / 2A =(1,-1 / 2,-1 / 2)( - 1 / 2.1,-1 / 2)( - 1 / 2,1 / 2.1)=(2,-1 / 2))-1,-1)( - 1,2,-1)( - 1,-1,2)=(1,-2,1)(2,-1,-1)( - 1,-1,2))=(1,?2,1)(0,3,?3)(0,?3,3)=(1,?2,1)(0,1,?1)(0,0,0)0)Rank = 2,即a = -1/2中有2。
范围a = 1A =(1,1,1)(1,1,1)(1,1,1)=(1,1,1)(0,0,0)(0,0,0)=1矛盾然后,a = -1 / 2