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Mathematics-Online problems:

Interactive Problem 34: Determination of (generalised) Eigenvectors

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Given the matrix

\begin{displaymath} A=\left( \begin{array}{rrr} -1& 2& -1\\ -8&-10& 8\\ -15&-14& 13\\ \end{array}\right)\,. \end{displaymath}

Find the shortest integral (generalised) eigenvectors, whose last entries are positive.

Eigenvector corresponding to the smallest eigenvalue: $ \left(\rule{0pt}{6ex}\right.$
$ \left.\rule{0pt}{6ex}\right)$
Eigenvector corresponding to the greatest eigenvalue: $ \left(\rule{0pt}{6ex}\right.$
$ \left.\rule{0pt}{6ex}\right)$
Third (generalised) eigenvector: $ \left(\rule{0pt}{6ex}\right.$
$ \left.\rule{0pt}{6ex}\right)$

   

(Authors: App/Höfert)

Solution:

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  automatically generated: 8/11/2017