Question

Write an augmented matrix for the following system of equations and give its size.- 8x + 3y = 1 4x - 7y = 4What is the augmented matrix?

Answer 1

The equation is;

`\begin{gathered} -8x+3y=1 \\ \text{ }4x-7y=4 \end{gathered}`

Writing in matrix form, we have;

`\begin{bmatrix}{-8} & {3} \\ {4} & {-7}\end{bmatrix}\begin{bmatrix}{x} & {} \\ {y} & {}\end{bmatrix}=\begin{bmatrix}{1} & {} \\ {4} & {}\end{bmatrix}`

The augmented matrix is thus;

`\begin{bmatrix}{-8} & {3} & |{\text{ }1} \\ {4} & {-7} & |{\text{ }4} \\ {} & {} & \end{bmatrix}`