## Precalculus (6th Edition) Blitzer

The new matrix is, $\left[ \begin{matrix} 1 & -1 & \frac{1}{2} & -\frac{1}{2} \\ 1 & 2 & -1 & 2 \\ 6 & 4 & 3 & 5 \\ \end{matrix} \right]$
Consider the given matrix, $\left[ \begin{matrix} 2 & -2 & 1 & -1 \\ 1 & 2 & -1 & 2 \\ 6 & 4 & 3 & 5 \\ \end{matrix} \right]$ Perform the operation, $\frac{1}{2}{{R}_{1}}$ For this we will multiply elements of row 1 by $\left( \frac{1}{2} \right)$ to get the matrix as below: $\left[ \begin{matrix} 2\times \frac{1}{2} & -2\times \frac{1}{2} & 1\times \frac{1}{2} & -1\times \frac{1}{2} \\ 1 & 2 & -1 & 2 \\ 6 & 4 & 3 & 5 \\ \end{matrix} \right]=\left[ \begin{matrix} 1 & -1 & \frac{1}{2} & -\frac{1}{2} \\ 1 & 2 & -1 & 2 \\ 6 & 4 & 3 & 5 \\ \end{matrix} \right]$ The new matrix is: $\left[ \begin{matrix} 1 & -1 & \frac{1}{2} & -\frac{1}{2} \\ 1 & 2 & -1 & 2 \\ 6 & 4 & 3 & 5 \\ \end{matrix} \right]$.