Find the characteristic polynomial and the eigenvalues of the matrix. -7 -7 1 - 1 The characteristic polynomial is (Type an expression using as the variable. Type an exact answer, using radicals as needed.)
Find the characteristic polynomial and the eigenvalues of the matrix. -7 -7 1 - 1 The characteristic polynomial is (Type an expression using as the variable. Type an exact answer, using radicals as needed.)
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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![Find the characteristic polynomial and the eigenvalues of the matrix.
\[
\begin{bmatrix}
-7 & -7 \\
1 & -1 \\
\end{bmatrix}
\]
The characteristic polynomial is \(\square\).
(Type an expression using \(\lambda\) as the variable. Type an exact answer, using radicals as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe00cebfb-aec4-474d-8979-79a2d105b819%2Fe269c122-f69a-4957-ac4c-4e4f8a529992%2F8bdlo9d_processed.png&w=3840&q=75)
Transcribed Image Text:Find the characteristic polynomial and the eigenvalues of the matrix.
\[
\begin{bmatrix}
-7 & -7 \\
1 & -1 \\
\end{bmatrix}
\]
The characteristic polynomial is \(\square\).
(Type an expression using \(\lambda\) as the variable. Type an exact answer, using radicals as needed.)
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