JordanDiagonalization Command

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This command differs among variants of English:

  • JordanDiagonalization (US)

  • JordanDiagonalisation (UK + Aus)

CAS Syntax

JordanDiagonalization( <Matrix> )

Decomposes the given matrix into the form S J S⁻¹ where J is in Jordan Canonical Form

JordanDiagonalization({{1, 2}, {3, 4}}) yields \( \left(\begin{array}{}\sqrt{33} - 3&-\sqrt{33} - 3\\6&6\\\end{array}\right) \), \( \left(\begin{array}{}\frac{\sqrt{33} + 5}{2}&0\\0&\frac{-\sqrt{33} + 5}{2}\\\end{array}\right) \)