Find the characteristic polynomial and the eigenvalues of the matrix. 5 4 -4 7
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 17CM: Find the sequence of the elementary matrices whose product is the non singular matrix below. [2410]
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![**Find the characteristic polynomial and the eigenvalues of the matrix.**
\[
\begin{bmatrix}
5 & -4 \\
4 & 7
\end{bmatrix}
\]
The characteristic polynomial is [ ].
*(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%2F7a6c3af6-91f1-478b-99db-a0b0fd9518f2%2Fc33ea72a-325b-4be0-8539-7c1c3c58c19a%2Fqfklc9_processed.png&w=3840&q=75)
Transcribed Image Text:**Find the characteristic polynomial and the eigenvalues of the matrix.**
\[
\begin{bmatrix}
5 & -4 \\
4 & 7
\end{bmatrix}
\]
The characteristic polynomial is [ ].
*(Type an expression using \(\lambda\) as the variable. Type an exact answer, using radicals as needed.)*
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