91Ó°ÊÓ

Identify the elementary row operation(s) being performed to obtain the new row-equivalent matrix. $$ \left[\begin{array}{rrr} 3 & -1 & -4 \\ -4 & 3 & 7 \end{array}\right] $$ $$ \left[\begin{array}{rrr} 3 & -1 & -4 \\ 5 & 0 & -5 \end{array}\right] $$

Find a parametric representation of the solution set of the linear equation. $$3 x-\frac{1}{2} y=9$$

(a) determine the polynomial function whose graph passes through the points, and (b) sketch the graph of the polynomial function, showing the points. $$(-4,18),(0,1),(4,0),(6,28),(8,135)$$

Find a parametric representation of the solution set of the linear equation. $$x+y+z=1$$

(a) determine the polynomial function whose graph passes through the points, and (b) sketch the graph of the polynomial function, showing the points. $$(2013,5),(2014,7),(2015,12)$$

(a) determine the polynomial function whose graph passes through the points, and (b) sketch the graph of the polynomial function, showing the points. $$(2012,150),(2013,180),(2014,240),(2015,360)$$

Find a parametric representation of the solution set of the linear equation. $$12 x_{1}+24 x_{2}-36 x_{3}=12$$

Find the solution set of the system of linear equations represented by the augmented matrix. $$ \left[\begin{array}{lll} 1 & 0 & 0 \\ 0 & 1 & 2 \end{array}\right] $$

Graph the system of linear equations. Solve the system and interpret your answer. $$\begin{array}{r}2 x+y=4 \\\x-y=2\end{array}$$

Graph the system of linear equations. Solve the system and interpret your answer. $$\begin{array}{r}x+3 y=2 \\\\-x+2 y=3\end{array}$$