Answered: Consider the given matrix. 6 -1 8. Find…

Consider the given matrix. 6 -1 8. Find the eigenvalues. (Enter your answers as a comma-separated list.) Find a basis for each eigenspace. (Order the bases by corresponding eigenva { }}

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Consider the given matrix.

\[
\begin{bmatrix}
6 & -1 \\
2 & 8 \\
\end{bmatrix}
\]

Find the eigenvalues. (Enter your answers as a comma-separated list.)

$\lambda = $ [Input box]

Find a basis for each eigenspace. (Order the bases by corresponding eigenvalues, where eigenvalues are ordered from smallest to largest by real part, then by imaginary part.)

[ { [Input box] } → [ { [Input box] } ]

[ { [Input box] } → [ { [Input box] } ]

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