Question

write the augment matrix for the following system of equations -3+2z+5x=-2y 0=-3x-3y-7 0=7-3z+8x-3y

Answer 1

In order to write the augment matrix, we need to write the independent constants (the values without variables) in the fourth column, and the other constants of each variable in the first three columns.

So let's organize the system of equations in that order.

So we have that:

`\begin{gathered} -3+2z+5x=-2y \\ 0=-3x-3y-7 \\ 0=7-3z+8x-3y​ \\ \\ 5x+2y+2z=3 \\ -3x-3y+0z=7 \\ 8x-3y-3z​=-7 \end{gathered}`

So the augment matrix is:

`\begin{bmatrix}{5} & {2} & {2}\text 3 \\ {-3} & {-3} & {0\text } \\ {8} & {-3} & {-3\text -7}\end{bmatrix}`