If, we have invertible square matrix A, then how to prove that
?
adj(A) is adjoint of A and T represents transpose of matrix.
Using formula to find inverse of matrix, we can say that
{
is determinant of
}
(1)
and {
}
And, we know that
Taking transpose on both sides, we get
{
}
(2)
From (1) and (2), we can say that
which is the desired equation.
[…] (5) {(adj(A))^T} = adj({A^T}) […]