QUESTION 3 Find the eigenvalues of the given matrix. Enter your answers from smallest eigenvalue to the largest eigenvalue For repeated eigenvalues, enter the value as many times as needed If the number of eigenvalues is lower than 3, enter NONE in the unused fields 25 -1 -10 0 0 -5 Find the coresponding eigenvectors. Enter NONE for unused fields. Note that one of the elements of the eigenvectors is given K 1 > > >

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 35EQ
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QUESTION 3
Find the eigenvalues of the given matrix. Enter your answers from smallest eigenvalue to the largest eigenvalue For repeated eigenvalues, enter the value as
many times as needed If the number of eigenvalues is lower than 3, enter NONE in the unused fields.
25
-1 -10
0 -5
Find the corresponding eigenvectors. Enter NONE for unused fields Note that one of the elements of the eigenvectors is given
K 1
Kg=
State whether the given matrix a singular or nonsingular by considering the following theorem "A matro A is singular if and only if the number 0 is an eigenvalue
of A
> >
Transcribed Image Text:QUESTION 3 Find the eigenvalues of the given matrix. Enter your answers from smallest eigenvalue to the largest eigenvalue For repeated eigenvalues, enter the value as many times as needed If the number of eigenvalues is lower than 3, enter NONE in the unused fields. 25 -1 -10 0 -5 Find the corresponding eigenvectors. Enter NONE for unused fields Note that one of the elements of the eigenvectors is given K 1 Kg= State whether the given matrix a singular or nonsingular by considering the following theorem "A matro A is singular if and only if the number 0 is an eigenvalue of A > >
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