Find the characteristic polynomial and the eigenvalues of the matrix. -8 2 [B] -2 -7 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. -8 2 [B] -2 -7 The characteristic polynomial is (Type an expression using as the variable. Type an exact answer, using radicals as needed.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 6E
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Also, Find the eigenvalues of the matrix, set the characteristic polynomial equal to 0 and solve for lambda λ. Please show all steps and work.
![Find the characteristic polynomial and the eigenvalues of the matrix.
-8
2
[B]
-2 -7
The characteristic polynomial is
(Type an expression using as the variable. Type an exact answer, using radicals as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3fa098a-800d-440b-b28a-d62ad7aee48d%2F7c45f00a-b6d6-4b58-8f29-a03d3aa2cd03%2Fy3prwaf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the characteristic polynomial and the eigenvalues of the matrix.
-8
2
[B]
-2 -7
The characteristic polynomial is
(Type an expression using as the variable. Type an exact answer, using radicals as needed.)
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