Linear Algebra

Note that when using a matrix/array, a hard bar has some other meaning that I don’t know yet. (It represents how you can do math w/ the matrix & the vector). This thing:

$$\begin{array}{cccc}1& 4& 0& 7\\ & & & \\ 2& 7& 0& 11\end{array}$$

Some potentially useful latex:

$$\left(\begin{array}{ccc}3& 3& 3\\ & & \\ 3& 3& 3\\ & & \\ 3& 3& 3\end{array}\right)\stackrel{r_1+r_2}{⟶}\left(\begin{array}{ccc}3& 3& 3\\ & & \\ 3& 3& 3\\ & & \\ 3& 3& 3\end{array}\right)$$ $$\left[\begin{array}{ccc}3& 3& 3\\ 4& 4& 4\\ 5& 5& 5\end{array}\right]\stackrel{testing}{⟶}\left[\begin{array}{ccc}3& 3& 3\\ 4& 4& 4\\ 5& 5& 5\end{array}\right]$$

Definitions

Pivot

[A pivot column] is [the first column with a non-zero entry in a matrix].