Question

Find the minor of $\left[\begin{array}{ccc}2& 7& 3\\ -4& 3& -1\\ 0& -3& 7\end{array}\right]$.

Answer 1

$\left[\begin{array}{ccc}2& 7& 3\\ -4& 3& -1\\ 0& -3& 7\end{array}\right]$.

Minor of $2$ is $\left[\begin{array}{cc}3& -1\\ -3& 7\end{array}\right]=21-3=18$

Minor of $7$ is $\left[\begin{array}{cc}-4& -1\\ 0& 7\end{array}\right]=-28-0=-28$

Minor of $3$ is $\left[\begin{array}{cc}-4& 3\\ 0& -3\end{array}\right]=12-0=12$

Minor of $-4$ is $\left[\begin{array}{cc}7& 3\\ -3& 7\end{array}\right]=49+9=58$

Minor of $3$ is $\left[\begin{array}{cc}2& 3\\ 0& 7\end{array}\right]=14-0=14$

Minor of $-1$ is $\left[\begin{array}{cc}2& 7\\ 0& -3\end{array}\right]=-6-0=-6$

Minor of $0$ is $\left[\begin{array}{cc}7& 3\\ 3& -1\end{array}\right]=-7-9=-16$

Minor of $-3$ is $\left[\begin{array}{cc}2& 3\\ -4& -1\end{array}\right]=-2+12=10$

Minor of $7$ is $\left[\begin{array}{cc}2& 7\\ -4& 3\end{array}\right]=6+28=34$