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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)

(temporary unavailable)

  automatically generated 4/21/2005