Calculate the characteristic polynomial of the following matrix A, and use it to compute the eigenvalues of A. -8 4 A =-14 4 6 -2 4 -6 How to enter polynomials: something like 2- 3r + 4*r^2 - 5*rA3. Remember to use * for multiplication! Enter the characteristic polynomial of the matrix A: Note: Use r as the polynomial variable. Enter the eigenvalues of A separating them by commas: something like 1, -2, 5.
Calculate the characteristic polynomial of the following matrix A, and use it to compute the eigenvalues of A. -8 4 A =-14 4 6 -2 4 -6 How to enter polynomials: something like 2- 3r + 4*r^2 - 5*rA3. Remember to use * for multiplication! Enter the characteristic polynomial of the matrix A: Note: Use r as the polynomial variable. Enter the eigenvalues of A separating them by commas: something like 1, -2, 5.
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
![**Calculate the characteristic polynomial of the following matrix \( \mathbf{A} \), and use it to compute the eigenvalues of \( \mathbf{A} \).**
\[
\mathbf{A} = \begin{bmatrix} -8 & 4 & 0 \\ -14 & 4 & 6 \\ -2 & 4 & -6 \end{bmatrix}
\]
**How to enter polynomials:** something like \( 2 - 3r + 4r^2 - 5r^3 \). Remember to use * for multiplication!
**Enter the characteristic polynomial of the matrix \( \mathbf{A} \):**
*Note:* Use \( r \) as the polynomial variable.
[Input Box]
[Submit Button]
**Enter the eigenvalues of \( \mathbf{A} \) separating them by commas:** something like \( 1, -2, 5 \).
[Input Box]
[Submit Button]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb493ecdd-cbdc-400d-a05a-de2010eb2d52%2Fc3a601d5-3001-4d6d-9674-db97b757427e%2Fboqmif_processed.png&w=3840&q=75)
Transcribed Image Text:**Calculate the characteristic polynomial of the following matrix \( \mathbf{A} \), and use it to compute the eigenvalues of \( \mathbf{A} \).**
\[
\mathbf{A} = \begin{bmatrix} -8 & 4 & 0 \\ -14 & 4 & 6 \\ -2 & 4 & -6 \end{bmatrix}
\]
**How to enter polynomials:** something like \( 2 - 3r + 4r^2 - 5r^3 \). Remember to use * for multiplication!
**Enter the characteristic polynomial of the matrix \( \mathbf{A} \):**
*Note:* Use \( r \) as the polynomial variable.
[Input Box]
[Submit Button]
**Enter the eigenvalues of \( \mathbf{A} \) separating them by commas:** something like \( 1, -2, 5 \).
[Input Box]
[Submit Button]
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