Difference between revisions of "AoPS Wiki:Sandbox"

Latest revision as of 11:24, 24 November 2024

Welcome to the sandbox, a location to test your newfound wiki-editing abilities.

Please note that all contributions here may be deleted periodically and without warning.

@@ Line 1: / Line 1: @@
 {{AoPSWiki:Sandbox/header}} <!-- Please do not delete this line -->
-In the computer world, a '''sandbox''' is a place to test and experiment -- essentially, it's a place to play.
-This is the AoPSWiki Sandbox.  Feel free to experiment here.
-Warning: anything you place here is subject to deletion without notice.
-=== Sandbox Area ===
-<asy>
-draw((0,0)--(3,9),black);
-label("$71^\circ$",(0,0),NE);
-draw((3,9)--(6,0),black);
-label("$71^\circ$",(6,0),NW);
-draw((0,0)--(6,0),black);
-label("$38^\circ$",(3,8),S);
-dot((0,0));
-dot((3,9));
-dot((6,0));
-draw((-1,7)--(2.3,5.9),black);
-draw((-1,6)--(2,6),red);
-label("$19^\circ$",(1,6),NW);
-</asy>
-<math>\lim_{x\to0}\frac{a}{x}</math>
-The characteristic polynomial <math>f(\lambda)</math> of the
-<math>3 \times 3</math> matrix
-\[
-\left(
-\begin{array}{ccc}
-a & b & c \\
-d & e & f \\
-g & h & i \end{array}
-\right)\]
-is given by the equation
-\[ f(\lambda)
-= \left|
-\begin{array}{ccc}
-\lambda - a & -b & -c \\
--d & \lambda - e & -f \\
--g & -h & \lambda - i \end{array}
-\right|.\]