## Solve the System of Linear Equations Using the Inverse Matrix of the Coefficient Matrix

## Problem 442

Consider the following system of linear equations

\begin{align*}

2x+3y+z&=-1\\

3x+3y+z&=1\\

2x+4y+z&=-2.

\end{align*}

**(a)** Find the coefficient matrix $A$ for this system.

**(b)** Find the inverse matrix of the coefficient matrix found in (a)

**(c)** Solve the system using the inverse matrix $A^{-1}$.