Difference between revisions of "JordanDiagonalization Command"
From GeoGebra Manual
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− | <noinclude>{{Manual Page|version=5.0}}{{command|cas=true|US_version=JordanDiagonalization|non-US_version=JordanDiagonalisation}}</noinclude> | + | <noinclude>{{Manual Page|version=5.0}}{{command|cas=true|vector-matrix|US_version=JordanDiagonalization|non-US_version=JordanDiagonalisation}}</noinclude> |
==CAS Syntax== | ==CAS Syntax== | ||
;JordanDiagonalization( <Matrix> ) | ;JordanDiagonalization( <Matrix> ) |
Latest revision as of 08:57, 14 June 2019
This command differs among variants of English:
|
CAS Syntax
- JordanDiagonalization( <Matrix> )
- Decomposes the given matrix into the form S J S⁻¹ where J is in Jordan Canonical Form
- Example:
JordanDiagonalization({{1, 2}, {3, 4}})
yields \left(\begin{array}{}\sqrt{33} - 3&-\sqrt{33} - 3\\6&6\\\end{array}\right) , \left(\begin{array}{}\frac{\sqrt{33} + 5}{2}&0\\0&\frac{-\sqrt{33} + 5}{2}\\\end{array}\right)
Note: