[5 9] Find the eigenvalues and eigenvectors of the matrix A = |1 5 A1 = A , v1 and
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
![Find the eigenvalues and eigenvectors of the matrix \( A = \begin{bmatrix} 5 & 9 \\ 1 & 5 \end{bmatrix} \).
\[
\lambda_1 = \text{(blank input)} , \quad \vec{v}_1 = \begin{bmatrix} \text{(blank input)} \\ \text{(blank input)} \end{bmatrix}
\]
and
\[
\lambda_2 = \text{(blank input)} , \quad \vec{v}_2 = \begin{bmatrix} \text{(blank input)} \\ \text{(blank input)} \end{bmatrix}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4b077b5-8d50-4ffa-8a07-4bb862cf205f%2Fed76064f-75cf-4631-a009-0722d0d7cbb7%2F5rjf8va_processed.png&w=3840&q=75)
Transcribed Image Text:Find the eigenvalues and eigenvectors of the matrix \( A = \begin{bmatrix} 5 & 9 \\ 1 & 5 \end{bmatrix} \).
\[
\lambda_1 = \text{(blank input)} , \quad \vec{v}_1 = \begin{bmatrix} \text{(blank input)} \\ \text{(blank input)} \end{bmatrix}
\]
and
\[
\lambda_2 = \text{(blank input)} , \quad \vec{v}_2 = \begin{bmatrix} \text{(blank input)} \\ \text{(blank input)} \end{bmatrix}
\]
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