Difference between revisions of "JordanDiagonalization Command"

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<noinclude>{{Manual Page|version=5.0}}{{command|cas=true|US_version=JordanDiagonalization|non-US_version=JordanDiagonalisation}}</noinclude>
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<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

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)


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