Question

线性代数，谁可以帮忙解决一下2.3题？详解过程，谢谢

Answer 1

[ A | E ] =
2 0 1 1 0 0
1 -2 -1 0 1 0
-1 3 2 0 0 1

=
1 -2 -1 0 1 0
2 0 1 1 0 0
-1 3 2 0 0 1

=
1 -2 -1 0 1 0
0 4 3 1 -2 0
0 1 1 0 1 1

=
1 -2 -1 0 1 0
0 1 1 0 1 1
0 4 3 1 -2 0

=
1 -2 -1 0 1 0
0 1 1 0 1 1
0 0 -1 1 -6 -4

=
1 -2 -1 0 1 0
0 1 1 0 1 1
0 0 1 -1 6 4

=
1 -2 0 -1 7 4
0 1 0 1 -5 -3
0 0 1 -1 6 4

=
1 0 0 1 -3 -2
0 1 0 1 -5 -3
0 0 1 -1 6 4

A^(-1) =
1 -3 -2
1 -5 -3
-1 6 4