**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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Answered: Find the characteristic polynomial and…

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. 5 4 -4 7