线性代数第四(2)题,求指导,最好有过程,谢谢.
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线性代数第四(2)题,求指导,最好有过程,谢谢.
![线性代数第四(2)题,求指导,最好有过程,谢谢.](/uploads/image/z/19103279-23-9.jpg?t=%E7%BA%BF%E6%80%A7%E4%BB%A3%E6%95%B0%E7%AC%AC%E5%9B%9B%EF%BC%882%EF%BC%89%E9%A2%98%2C%E6%B1%82%E6%8C%87%E5%AF%BC%2C%E6%9C%80%E5%A5%BD%E6%9C%89%E8%BF%87%E7%A8%8B%2C%E8%B0%A2%E8%B0%A2.)
(2) (A,E) =
[1 0 0 ...0 1 0 0 ...0]
[1 1 0 ...0 0 1 0 ...0]
[1 1 1 ...0 0 0 1 ...0]
[...]
[1 1 1 ...1 0 0 0 ...1]
第 k 行减去第 k-1 行(k=n,n-1,...,2),则初等变换为
[1 0 0 ...0 1 0 0 ...0]
[0 1 0 ...0 -1 1 0 ...0]
[0 0 1 ...0 0 -1 1 ...0]
[...]
[0 0 0 ...1 0 0 -1 ...1]
则 A^(-1)=
[ 1 0 0 ...0]
[-1 1 0 ...0]
[ 0 -1 1 ...0]
[.]
[ 0 0 -1 ...1]
再问: 能不能写在纸上拍下来,再详细点。
[1 0 0 ...0 1 0 0 ...0]
[1 1 0 ...0 0 1 0 ...0]
[1 1 1 ...0 0 0 1 ...0]
[...]
[1 1 1 ...1 0 0 0 ...1]
第 k 行减去第 k-1 行(k=n,n-1,...,2),则初等变换为
[1 0 0 ...0 1 0 0 ...0]
[0 1 0 ...0 -1 1 0 ...0]
[0 0 1 ...0 0 -1 1 ...0]
[...]
[0 0 0 ...1 0 0 -1 ...1]
则 A^(-1)=
[ 1 0 0 ...0]
[-1 1 0 ...0]
[ 0 -1 1 ...0]
[.]
[ 0 0 -1 ...1]
再问: 能不能写在纸上拍下来,再详细点。