Consider the following real symmetric matrix 1 1 1V 1 -1 1 1 1 -1 a) find the eigenvalues b) find the eigenvectors c) show that eigenvectors are mutually perpendicular (do it for any of the two vectors)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.4: Determinants
Problem 53PS
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Consider the following real symmetric matrix
1
1
1V
1
-1
1
1
1
-1
Transcribed Image Text:Consider the following real symmetric matrix 1 1 1V 1 -1 1 1 1 -1
a)
find the eigenvalues
b) find the eigenvectors
c)
show that eigenvectors are mutually perpendicular (do it for any of the two vectors)
Transcribed Image Text:a) find the eigenvalues b) find the eigenvectors c) show that eigenvectors are mutually perpendicular (do it for any of the two vectors)
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