Difference between revisions of "AoPS Wiki:Sandbox"

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{{AoPSWiki:Sandbox/header}} <!-- Please do not delete this line -->
 
{{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.
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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
 
<math>
 
\left(
 
\begin{array}{ccc}
 
a & b & c \\
 
d & e & f \\
 
g & h & i \end{array}
 
\right)</math>
 
is given by the equation
 
<math> f(\lambda)
 
= \left|
 
\begin{array}{ccc}
 
\lambda - a & -b & -c \\
 
-d & \lambda - e & -f \\
 
-g & -h & \lambda - i \end{array}
 
\right|.</math>
 

Latest revision as of 16:50, 29 October 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.

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