# Eigenvalues experiment

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## WHAT IS IT?

Applies the matrix transformation to a set of unit vectors

## HOW IT WORKS

There is one agent for each of the 128 unit vectors.

## HOW TO USE IT

Choose the coefficients of the 2x2 matrix and press Go.

## THINGS TO NOTICE

ItÂ´s a first step to understanding engelvalues and eigenvectors.

You can use colours for an insight.

## THINGS TO TRY

You can just press Go for a new experiment.

## EXTENDING THE MODEL

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## NETLOGO FEATURES

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## RELATED MODELS

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## CREDITS AND REFERENCES

Author: Francisco Restivo (frestivo@gmail.com).

## Comments and Questions

; Aims to emonstrate the eigenvectors of a 2x2 matrix ; Created by Francisco Restivo, frestivo@gmail.com globals [tr det delta EV1 EV2 alpha x0 y0 x1 y1] to go clear-all crt 128 ; 128 turtles, for 128 unit vectors set tr A11 + A22 set det A11 * A22 - A12 * A21 set delta tr * tr - 4 * det set EV1 0 set EV2 0 if delta >= 0 [ set delta sqrt (delta) set EV1 (tr + delta) / 2 set EV2 (tr - delta) / 2 ] ask turtles [ pd set shape "circle" set size 0 set color green + who / 28 set alpha 360 * who / 128 set x0 Scale * cos alpha set y0 Scale * sin alpha setxy x0 y0 setxy 0 0 set x1 A11 * x0 + A12 * y0 set y1 A21 * x0 + A22 * y0 setxy x1 y1 ] end

There is only one version of this model, created 10 months ago by Francisco Restivo.

## Attached files

File | Type | Description | Last updated | |
---|---|---|---|---|

Eigenvalues experiment.png | preview | Preview for 'Eigenvalues experiment' | 10 months ago, by Francisco Restivo | Download |

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