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 > > >

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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