A = 3
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 associated eigenvectors for
| 3 -4 |
| 1 3 | I can get the eigenvalues of 3+2i, 3-2i but I dont know where to go from there.
![The image depicts a matrix labeled \( A \). The matrix is a 2x2 matrix represented as follows:
\[
A = \begin{bmatrix} 3 & -4 \\ 1 & 3 \end{bmatrix}
\]
This matrix has two rows and two columns. The elements in the matrix are:
- First row: 3 and -4
- Second row: 1 and 3
This matrix can be used in various mathematical operations such as matrix addition, subtraction, multiplication, and finding the determinant or the inverse, provided it meets the necessary conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb85b6a62-8f66-4255-b64b-cdb85a3186b3%2F8f5e28e4-0a6f-4cc9-8a68-d96179066f02%2Fgqwkxyp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image depicts a matrix labeled \( A \). The matrix is a 2x2 matrix represented as follows:
\[
A = \begin{bmatrix} 3 & -4 \\ 1 & 3 \end{bmatrix}
\]
This matrix has two rows and two columns. The elements in the matrix are:
- First row: 3 and -4
- Second row: 1 and 3
This matrix can be used in various mathematical operations such as matrix addition, subtraction, multiplication, and finding the determinant or the inverse, provided it meets the necessary conditions.
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