# Creating a table from a matrix and two vectors

Suppose I have the following matrix (8x4) matrix

$\begin{bmatrix} 1 & 2 & 3 & 4 & 1 & 0 & 0 & 20 \\ 1 & 4 & 5 & 4 & 0 & 1 & 0 & 10 \\ 2 & 2 & 3 & 4 & 1 & 0 & 1 & 30 \\ 1 & -1 & 2 & -1 & 0 & 0 & 0 & 0 \end{bmatrix}$

I want to create a table in adding the following vector **above**

$ \begin{bmatrix} &x_1 & x_2 & x_3 & x_4 & \epsilon_1 & \epsilon_2 & \epsilon_3 & b \end{bmatrix} $

which will be invariant

and the following column vector on its **right**

$ \begin{bmatrix} \epsilon_1 \\ \epsilon_2 \\ \epsilon_3 \\ b \end{bmatrix} $

Two answers to my previous question
"Concatenation of symbolic vectors"
help me construct the line vector which is a concatenation of two vectors.
But I cannot use the answer in the `table()`

mechanism
simply because it doesn't work as expected that is

```
table(name_of_the_matrix, header_row=name_of_the_line_vector)
```

Is there a way to obtain what I expect? I observed that `html.table()`

doesn't work.

I edited the question to fix the formatting and removed your technical post-scriptum:

To answer that: it is a technical issue with escape sequences and backslash characters.

Workaround: in LaTeX code between

`$ ... $`

, type`\\`

for`\`

and so`\\\\ for`

\`.This probably has to do with the MathJax configuration of the Askbot engine powering Ask Sage.

Starting input to get anyone started on an answer:

Now all there is to do is to arrange

`a`

,`u`

,`v`

as in the question.For reference it seems such tables are often used when applying the "simplex algorithm" (or "simplex method") and in that context they are sometimes called simplex tables.