Question

Write the augmented matrix for the following system of equations.

0 = 1 + 8z + 6x – 2y
0= -y +3 + 5x
4y = 2 + 1 - 8x

Answer 1

Given:

`0=1+8z+6x-2y`
`0=-y+3+5x`
`4y=z+1-8x`

Rewrite the given equations of the form.

`ax+by+cz=d`

The given equations can be rewritten as follows.

`6x-2y+8z=-1`

`5x-y+0z=-3`

`-8x-4y+z=-1`

The augmented matrix is

`\begin{bmatrix}{6} & {-2} & {8} & {-1} \\ {5} & {-1} & {0} & {-3} \\ {-8} & {-4} & {1} & {-1} \\ {} & {} & {} & {}\end{bmatrix}`