JordanDiagonalization Command

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

See also Eigenvalues Command, Eigenvectors Command, SVD Command, Invert Command, Transpose Command