A* is the adjoint matrix of A, which is also called transposed adjoint matrix in some textbooks.

The elements in A* consist of algebraic cofactors of the elements in |A|.

A * = (aji), and aiji is the algebraic complement of aiji in |A|.

It has the attribute aa * = a * a = | a | ea | e.

Derived from the expansion theorem of determinant.