Finding inverse of a matrix by adjoint method gives me a negative of the real inverse?

Question

I have a square 3x3 matrix

2 5 5

-1 -1 0

2 4 3

And I found the matrix of cofactors as below

-3 3 -2

5 -4 2

5 -5 3

Then I take the transpose of the matrix of cofactors

-3 5 5

3 -4 -5

-2 3 3

But the result that I see on the book is

3 -5 -5

-3 4 5

2 -2 -3

Could you please tell me what I am missing in this method? Every element of the matrix is negative of what I found

Answer 1

You forgot to divide by the determinant of the matrix; it's $-1$.