The matrix has eigenvalues –5, 1, and 2. Find its eigenvectors. The eigenvalue -5 has associated eigenvector The eigenvalue 1 has associated eigenvector The eigenvalue 2 has associated eigenvector Noto: Vou con corn portial prodit on this problem A = 6 20 6 9 -6 7 -5 8 -71 7 -6 9
The matrix has eigenvalues –5, 1, and 2. Find its eigenvectors. The eigenvalue -5 has associated eigenvector The eigenvalue 1 has associated eigenvector The eigenvalue 2 has associated eigenvector Noto: Vou con corn portial prodit on this problem A = 6 20 6 9 -6 7 -5 8 -71 7 -6 9
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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![The matrix
\[
A = \begin{bmatrix} -6 & 6 & -7 \\ 7 & -5 & 7 \\ 8 & -6 & 9 \end{bmatrix}
\]
has eigenvalues \(-5\), \(1\), and \(2\). Find its eigenvectors.
The eigenvalue \(-5\) has associated eigenvector
\[
\begin{bmatrix} \underline{\phantom{3}} \\ \underline{\phantom{3}} \\ \underline{\phantom{3}} \end{bmatrix}
\]
The eigenvalue \(1\) has associated eigenvector
\[
\begin{bmatrix} \underline{\phantom{3}} \\ \underline{\phantom{3}} \\ \underline{\phantom{3}} \end{bmatrix}
\]
The eigenvalue \(2\) has associated eigenvector
\[
\begin{bmatrix} \underline{\phantom{3}} \\ \underline{\phantom{3}} \\ \underline{\phantom{3}} \end{bmatrix}
\]
**Note:** You can earn partial credit on this problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66642e03-4e4a-4c87-8e6d-75cae92b5ebf%2F1d18bde3-fc42-4070-915c-0865eebbce06%2Fl82ywqo_processed.png&w=3840&q=75)
Transcribed Image Text:The matrix
\[
A = \begin{bmatrix} -6 & 6 & -7 \\ 7 & -5 & 7 \\ 8 & -6 & 9 \end{bmatrix}
\]
has eigenvalues \(-5\), \(1\), and \(2\). Find its eigenvectors.
The eigenvalue \(-5\) has associated eigenvector
\[
\begin{bmatrix} \underline{\phantom{3}} \\ \underline{\phantom{3}} \\ \underline{\phantom{3}} \end{bmatrix}
\]
The eigenvalue \(1\) has associated eigenvector
\[
\begin{bmatrix} \underline{\phantom{3}} \\ \underline{\phantom{3}} \\ \underline{\phantom{3}} \end{bmatrix}
\]
The eigenvalue \(2\) has associated eigenvector
\[
\begin{bmatrix} \underline{\phantom{3}} \\ \underline{\phantom{3}} \\ \underline{\phantom{3}} \end{bmatrix}
\]
**Note:** You can earn partial credit on this problem.
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