Question

图片中矩阵方程的题

大神们，拜托给出详细的解答过程。本人马上要期末考试了

Answer 1

(A, E) =
[ 0 -2 1 1 0 0]
[-2 3 0 0 0 1]
[ 3 0 -2 0 1 0]
初等行变换为
[ 3 0 -2 0 1 0]
[-2 3 0 0 0 1]
[ 0 -2 1 1 0 0]
初等行变换为
[ 1 3 -2 0 1 1]
[-2 3 0 0 0 1]
[ 0 -2 1 1 0 0]
初等行变换为
[ 1 3 -2 0 1 1]
[ 0 9 -4 0 2 3]
[ 0 -2 1 1 0 0]
初等行变换为
[ 1 3 -2 0 1 1]
[ 0 1 0 4 2 3]
[ 0 -2 1 1 0 0]
初等行变换为
[ 1 0 -2 -12 -5 -8]
[ 0 1 0 4 2 3]
[ 0 0 1 9 4 6]
初等行变换为
[ 1 0 0 6 3 4]
[ 0 1 0 4 2 3]
[ 0 0 1 9 4 6]
A^(-1) =
[6 3 4]
[4 2 3]
[9 4 6]