不是逆行列,是逆矩阵 !
(1)|A| = 7,A^(-1) = A*/ |A| =
[ 3/7 2/7]
[-2/7 1/7]
(2) (A, E) =
[2 1 2 1 0 0]
[1 1 1 0 1 0]
[2 1 3 0 0 1]
初等行变换为
[1 1 1 0 1 0]
[2 1 2 1 0 0]
[0 0 1 -1 0 1]
初等行变换为
[1 1 1 0 1 0]
[0 -1 0 1 -2 0]
[0 0 1 -1 0 1]
初等行变换为
[1 1 0 1 1 -1]
[0 1 0 -1 2 0]
[0 0 1 -1 0 1]
初等行变换为
[1 0 0 2 -1 -1]
[0 1 0 -1 2 0]
[0 0 1 -1 0 1]
A^(-1) =
[ 2 -1 -1]
[-1 2 0]
[-1 0 1]