Answer
(a) The minors are given by:
\begin{align*}
M_{11}&=23, \quad M_{12}=-8, \quad M_{13}=-22,\\
M_{21}&=8, \quad M_{22}=-7, \quad M_{23}=5,\\
M_{31}&=2, \quad M_{32}=-2, \quad M_{33}=-23.
\end{align*}
(b) The cofactors, are given by:
\begin{align*}
C_{11}&=23, \quad C_{12}=8, \quad C_{13}=-22,\\
C_{21}&=-8, \quad C_{22}=-7, \quad C_{23}=-5,\\
C_{31}&=2, \quad C_{32}=2, \quad C_{33}=-23.
\end{align*}
Work Step by Step
Given
$$
\left|\begin{array}{rrr}{-3} & {2} & {2} \\ {4} & {5} & {6} \\ {2} & {-3} & {1}\end{array}\right|.
$$
(a) The minors are given by:
\begin{align*}
M_{11}&=23, \quad M_{12}=-8, \quad M_{13}=-22,\\
M_{21}&=8, \quad M_{22}=-7, \quad M_{23}=5,\\
M_{31}&=2, \quad M_{32}=-2, \quad M_{33}=-23.
\end{align*}
(b) The cofactors, are given by:
\begin{align*}
C_{11}&=23, \quad C_{12}=8, \quad C_{13}=-22,\\
C_{21}&=-8, \quad C_{22}=-7, \quad C_{23}=-5,\\
C_{31}&=2, \quad C_{32}=2, \quad C_{33}=-23.
\end{align*}