(ii) Let
\[
A=\left(\begin{array}{ll}
3 & 2 \\
6 & 6
\end{array}\right)
\]
(a) Find the following matrices, and enter them in the input fields that follow:
- the matrix \( \left\|A_{i j}\right\| \) of cofactors of \( A \) :
- the adjoint \( \operatorname{adj}(A) \) of \( A \) :
\( \square \)
\( \square \)
- the product \( A \cdot \operatorname{adj}(A) \) :
\( \square \)
\( \square \)
(b) According to your results in (a),
\[
\operatorname{det}(A)=\square \text {, }
\]
and hence the matrix \( A \) is \( \square \)
(c) If the matrix \( A \) is nonsingular/invertible, use (a) to find the inverse \( A^{-1} \) of \( A \), and enter it in the input fields below (otherwise, enter an asterisk \( * \) in each input field):
\( \square \)
\( \square \)
