Lets consider a $3 \times 3$ matrix, A.
The inverse of this matrix can be found by finding the adjoint of the matrix and dividing it by its determinant. Can someone please explain why this process work and how it can be visualized?
I know that the determinant can be thought of as the volume spanned by the column vectors and that the adjoint of matrix A is $A^T$'s cofactors.
Let's consider a $3\times 3$ matrix, A.
The cofactors of this matrix can be found by the cross product of each of its column vectors. So what does the cofactor matrix tell us?