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Mathematics-Online problems:

Interactive Problem 5: Determination of 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
Find the eigenvectors of the matrix

\begin{displaymath}A=\left( \begin{array}{rrr} -11 & 2 & 8 \\ 2 & -2 & 10 \\ 8 & 10 & -5 \end{array}\right). \end{displaymath}

Declare integral eigenvectors with smallest possible length and positive first entry:

Eigenvector corresponding to the smallest eigenvalue: $ \left(\rule{0pt}{8ex}\right.$
$ \left.\rule{0pt}{8ex}\right)$
Eigenvector corresponding to the greatest eigenvalue: $ \left(\rule{0pt}{8ex}\right.$
$ \left.\rule{0pt}{8ex}\right)$
Third eigenvector: $ \left(\rule{0pt}{8ex}\right.$
$ \left.\rule{0pt}{8ex}\right)$

   

(Authors: Hörner/Höfert)
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  automatically generated: 8/11/2017