Question

Aumented matrix systems of equationsx+y=2 x - 2y = 17

Answer 1

To construct the augmented matrix we only need to identify the coefficients of the variables and the independent terms

`\begin{bmatrix}{1} & {1} & {2} \\ {1} & {-2} & {17} \\ {} & {} & \end{bmatrix}`

It is customary to draw a punctured line, or simply a line, between the second and the third column, but I cannot do this in the platform.

2. To construct the augmented matrix in this case, we need to write the equations in this form

`ax+by=c`

then, the system can be writen as

`\mleft\{\begin{aligned}-2x+y=0 \\ 4x-y=9\end{aligned}\mright.`

and the augmented matrix of this system is

`\begin{bmatrix}{-2} & {1} & {0} \\ {4} & {-1} & {9} \\ {} & {} & {}\end{bmatrix}`