Can we get a Matrix from its inverse?

Question

Is there a way to get back a matrix if we know the inverse of the required matrix?

Suppose I have Y=inv(A);

How can I get A in MATLAB?

Answer 1

X = inv(Y) 

If you have a matrix whose determinant is not zero,

Y*(Y^(-1)) = (Y^(-1))*Y = I

where I is the identity matrix.

Answer 2

By definition, the inverse of the inverse of a matrix is the matrix itself

A = inv(inv(A))