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Mathematics-Online course: Linear Algebra - Normal Forms - Jordan Normal Form

Triangular Form

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A square matrix $ A$ can be brought to upper triangle form by similarity transformations

$\displaystyle R = \left(\begin{array}{cccc} \lambda_1 & r_{1,2} & \cdots & r_{... ..._{n-1,n} \\ 0 & \cdots & 0 & \lambda_n \end{array}\right) = Q^{-1} A Q\, , $

where the diagonal entries are the eigenvalues $ \lambda_i$ of $ A$.
(Authors: Burkhardt/Höllig/Hörner)

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  automatically generated 4/21/2005