Matrix of minors of $$$\left[\begin{array}{cc}t & - t\\0 & t\end{array}\right]$$$
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Your Input
Find the matrix of minors of $$$\left[\begin{array}{cc}t & - t\\0 & t\end{array}\right]$$$.
Solution
The matrix of minors consists of all minors of the given matrix.
Minor $$$M_{ij}$$$ is the determinant of the submatrix formed by deleting row $$$i$$$ and column $$$j$$$ from the given matrix.
Calculate all minors:
$$$M_{11} = \left|\begin{array}{c}t\end{array}\right| = t$$$ (for steps, see determinant calculator).
$$$M_{12} = \left|\begin{array}{c}0\end{array}\right| = 0$$$ (for steps, see determinant calculator).
$$$M_{21} = \left|\begin{array}{c}- t\end{array}\right| = - t$$$ (for steps, see determinant calculator).
$$$M_{22} = \left|\begin{array}{c}t\end{array}\right| = t$$$ (for steps, see determinant calculator).
Thus, the matrix of minors is $$$\left[\begin{array}{cc}t & 0\\- t & t\end{array}\right]$$$.
Answer
The matrix of minors is $$$\left[\begin{array}{cc}t & 0\\- t & t\end{array}\right]$$$A.