Let $A=\left[\begin{array}{ccc} -2 &0 &-3\cr 2 &3 &0\cr -3 &2 &-1 \end{array}\right]$.

(a) Find the determinant of $A$.
${\rm det} (A) =$ ,

(b) Find the matrix of cofactors of $A$.
$C=$ $\left[\Rule{0pt}{3.6em}{0pt}\right.$$\left]\Rule{0pt}{3.6em}{0pt}\right.$

(c) Find the adjoint of $A$.
${\rm adj}(A)=$ $\left[\Rule{0pt}{3.6em}{0pt}\right.$$\left]\Rule{0pt}{3.6em}{0pt}\right.$

(d) Find the inverse of $A$.
$A^{-1}=$ $\left[\Rule{0pt}{3.6em}{0pt}\right.$$\left]\Rule{0pt}{3.6em}{0pt}\right.$