Chapter 7.1, Problem 39E

(a)

To determine

To calculate: The solution of augmented matrix, $\left[\begin{array}{cccc}-3& 4& ⋮& 22\\ 6& -4& ⋮& -28\end{array}\right]$ by performing the following row operations,

$1$. Adding $R_2$ to $R_1$.

$2$. Adding $-2$ times $R_1$ to $R_2$.

$3$. Multiplying $R_2$ by $-\frac{1}{4}$.

$4$. Multiplying $R_1$ by $\frac{1}{3}$.

(b)

To determine

To calculate: The solution of system of linear equation by first writing the linear equations from the augmented matrix $\left[\begin{array}{cccc}-3& 4& ⋮& 22\\ 6& -4& ⋮& -28\end{array}\right]$.

(c)

To determine

The preferable method used in part $\left(a\right)$ and part $\left(b\right)$.