Adjoint of $$$\left[\begin{array}{cc}t & - t\\0 & t\end{array}\right]$$$

Find the adjoint matrix of $$$\left[\begin{array}{cc}t & - t\\0 & t\end{array}\right]$$$.

The classical adjoint, adjugate, or adjunct of a square matrix is the transpose of its cofactor matrix.

The cofactor matrix is $$$\left[\begin{array}{cc}t & 0\\t & t\end{array}\right]$$$ (for steps, see cofactor matrix calculator).

The transpose of the cofactor matrix is $$$\left[\begin{array}{cc}t & t\\0 & t\end{array}\right]$$$ (for steps, see matrix transpose calculator).

The adjoint matrix is $$$\left[\begin{array}{cc}t & t\\0 & t\end{array}\right]$$$A.