Chapter 3.3, Problem 43P

To determine

(a)

To find:

The $\det \left(A\right)$ where $A=\left[\begin{array}{ccc}-2& 3& -1\\ 2& 1& 5\\ 0& 2& 3\end{array}\right]$

To determine

(b)

To find:

The matrix of cofactors $M_C$ where $A=\left[\begin{array}{ccc}-2& 3& -1\\ 2& 1& 5\\ 0& 2& 3\end{array}\right]$

To determine

(c)

To find:

The $adj\left(A\right)$ where $A=\left[\begin{array}{ccc}-2& 3& -1\\ 2& 1& 5\\ 0& 2& 3\end{array}\right]$

To determine

(d)

To find:

The inverse of matrix where $A=\left[\begin{array}{ccc}-2& 3& -1\\ 2& 1& 5\\ 0& 2& 3\end{array}\right]$.