91Ó°ÊÓ

The given matrix is

$\left|\begin{array}{ccc}-2& -2& 3\\ 1& -3& 0\\ -2& 3& -2\end{array}\right|$

We have to find the minor of$a_3.$

To evaluate the minor of$a_3$

Let's eliminate the row and column that contains$a_3$

Then write the remaining determinants as $2×2$matrix.

So, the matrix is

$$\begin{gathered} \left|\begin{array}{cc}-2& 3\\ -3& 0\end{array}\right| \\ =(-2)\left(0\right)-\left(3\right)\left(3\right) \\ =0-9 \\ =-9 \end{gathered}$$

Thus, the minor of$a_3$is$-9.$

The given matrix is

$\left|\begin{array}{ccc}-2& -2& 3\\ 1& -3& 0\\ -2& 3& -2\end{array}\right|$

We have to find the minor of$b_3.$

To evaluate the minor of$b_3$

Let's eliminate the row and column that contains$b_3$

Then write the remaining determinants as $2×2$matrix.

So, the matrix is

$$\begin{gathered} \left|\begin{array}{cc}-2& 3\\ 1& 0\end{array}\right| \\ =(-2)\left(0\right)-\left(1\right)\left(3\right) \\ =0-3 \\ =-3 \end{gathered}$$

Thus, the minor of$b_3$is$-3.$

The given matrix is

$\left|\begin{array}{ccc}-2& -2& 3\\ 1& -3& 0\\ -2& 3& -2\end{array}\right|$

We have to find the minor of$c_3.$

To evaluate the minor of$c_3$

Let's eliminate the row and column that contains$c_3$

Then write the remaining determinants as $2×2$matrix.

So, the matrix is

$$\begin{gathered} \left|\begin{array}{cc}-2& -2\\ 1& -3\end{array}\right| \\ =(-2)(-3)-\left(1\right)(-2) \\ =6+2 \\ =8 \end{gathered}$$

Thus, the minor of$c_3$is$8.$