线性代数，求大神解答，急求
1个回答
展开全部
1. AB = A^T- 3B, (A+3E)B = A^T,
B = (A+3E)^(-1) A^T
A+3E =
[1 0 0]
[0 4 3]
[0 1 1]
(A+3E)^(-1) =
[1 0 0]
[0 1 -3]
[0 -1 4]
B =
[-2 0 0]
[ 0 -8 7]
[0 11 -9]
2. |A| =
|0 1 1 1|
|0 -1 1 0|
|1 0 1 1|
|0 0 1 -1|
|A| =
| 1 1 1|
|-1 1 0|
| 0 1 -1|
|A| =
| 1 1 1|
| 0 2 1|
0 1 -1|
|A| = -3
|(1/3)A*A| = |(1/3)|A|E| = |-E| = (-1)^4 = 1
B = (A+3E)^(-1) A^T
A+3E =
[1 0 0]
[0 4 3]
[0 1 1]
(A+3E)^(-1) =
[1 0 0]
[0 1 -3]
[0 -1 4]
B =
[-2 0 0]
[ 0 -8 7]
[0 11 -9]
2. |A| =
|0 1 1 1|
|0 -1 1 0|
|1 0 1 1|
|0 0 1 -1|
|A| =
| 1 1 1|
|-1 1 0|
| 0 1 -1|
|A| =
| 1 1 1|
| 0 2 1|
0 1 -1|
|A| = -3
|(1/3)A*A| = |(1/3)|A|E| = |-E| = (-1)^4 = 1
本回答由网友推荐
已赞过
已踩过<
评论
收起
你对这个回答的评价是？
推荐律师服务：
若未解决您的问题，请您详细描述您的问题，通过百度律临进行免费专业咨询
