Adjoint Matrix

Tags

math

The adjoint matrix of a matrix \( A \) is the transpose of its co-factor matrix.

For a 2x2 matrix this is

\begin{align*} A &=

  \begin{pmatrix}
    a & b \\\\
    c & d
  \end{pmatrix} \\\\

adj(A) &=

       \begin{pmatrix}
         d & -b \\\\
         -c & a
       \end{pmatrix}

\end{align*}