Question

which matrix represents the system of equations shown below?4x-2y=55x-y=8A.[4 -1 55 -2. 8]B. [ 4 -2 55 -1 8]C.[ 5 -2 54 -1 8]D. [ 4 -2 85 -1 5]

Answer 1

Explanation:

Given the system of equations:

`\begin{gathered} 4x-2y=5 \\ 5x-y=8 \end{gathered}`

First, we can write the system as a matrix equation in the form below:

`\begin{bmatrix}4 & -2 \\ 5 & -1\end{bmatrix}\begin{bmatrix}x \\ y\end{bmatrix}=\begin{bmatrix}5 \\ 8\end{bmatrix}`

Next, in order to solve using Gaussian elimination, the matrix equation can be written in the form below:

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

The correct option is B.