Question

please send solution

Answer 1

this is the answer I think so

Answer 2

any matrix is inversible only when it is non singular matrix .means, determinant of matrix should be non zero.

given, $AB=I$
take determinant both sides,
$det(AB)=det(I)=1\\det(A).det(B)=1$
[ note :- determinant of unity matrix , I = 1 ]
this implies that determinant of matrices A and B can't be zero. hence, it is possible to get inverse of A or B.
hence, A is inversible.

we also know , B is inverse of A only when
AB= I and BA = I
we know, $BB^{-1}=I=BIB^{-1}=I$
$B(AB)B^{-1}=I\\\implies (BA)BB^{-1}=I\\\implies BA=I$

hence, it is clear that B is inverse of A
e.g., $B=A^{-1}$