Latex

Labeled Matrix

1. Create a 2 x 2 array $A$
2. $A_{11}$ is empty
3. $A_{12}$ is the row-wise labels
4. $A_{21}$ is the column-wise labels
5. $A_{22}$ is the matrix

$$\begin{array}{cc}& \begin{array}{ccc}A& B& C\end{array}\\ \begin{array}{c}A\\ B\\ C\end{array}& \left(\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\end{array}\right)\end{array}$$

Spacing

$$\begin{array}{r}\begin{array}{rl}& \text{! }\\ & \text{,}\\ & \text{: }\\ & \text{; }\\ & \text{quad }\\ & \text{qquad }\end{array}⟹\begin{array}{rl}& xy\\ & xy\\ & xy\\ & xy\\ & xy\\ & xy\end{array}\end{array}$$

Columns

Using nested aligned environment

$$\begin{array}{r}\begin{array}{r}(0,0)\\ (0,1)\end{array}⟹\begin{array}{r}(0,1)\\ (1,1)\end{array}\end{array}$$

Using &&

$$\begin{array}{rlrlrl}v+w& =0& & \text{Given}& & (1)\\ -w& =-w+0& & \text{additive identity}& & (2)\\ -w+0& =-w+(v+w)& & \text{equations (1) and (2)}& & \end{array}$$

Long Division

Cite

https://learnsharewithdp.wordpress.com/2020/05/19/how-to-write-long-division-in-latex/

Bounding Box

$$\text{bbox}[32px,border:2pxsolidwhite]\text{I am a bounding box}$$