Chapter 8.1, Problem 2CVC

Fill in each blank so that the resulting statement is true.

Consider the matrix

$\left[\begin{array}{lll}1\hfill & 1\hfill & -1\hfill \\ -3\hfill & -4\hfill & 2\hfill \\ 2\hfill & 1\hfill & 1\hfill \end{array}|\begin{array}{l}-2\\ 4\\ 6\end{array}\right].$

We can obtain 0 in the position shaded by a rectangle if we multiply the top row of numbers by__________ and add these products to the____________ row of numbers. We can obtain 0 in the position shaded by an oval if we multiply the top row of numbers by_________________ and add these products to the______________ row of numbers.