141 92 45 68] 92 96 76 68 45 76 75 52 68 68 52 49 Find the eigenvectors and eigenvalues of A. Is A a positive definite ? What is Rank of A

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 41EQ
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141 92 45 68
92
A =
45 76 75 52
96 76 68
68 68 52 49
Find the eigenvectors and eigenvalues of A.
Is A a positive definite ?
What is Rank of A
Using eigenvalues, calculate det(A)
You can use R to get results, please explain
the justification.
Transcribed Image Text:141 92 45 68 92 A = 45 76 75 52 96 76 68 68 68 52 49 Find the eigenvectors and eigenvalues of A. Is A a positive definite ? What is Rank of A Using eigenvalues, calculate det(A) You can use R to get results, please explain the justification.
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