Fizaa A.

asked • 08/12/20

How do I find the the 3 eigenvalues of the following matrix ?

The 3 eigenvalues of the following matrix are the same.

LaTeX: D = \left[\begin{array}{rrr}
e&-1&f\\
0&4&0\\
-2&7&6
\end{array}\right]  

Find the eigenvalues and determine the values for LaTeX: e and LaTeX: f.

 Find the eigenvectors of the eigenvalues. 

Please show all steps.

1 Expert Answer

By:

Richard P.

tutor
With e =2 and f=2, a standard computer algebra Singular Value Decomposition (SVD) routine returns the singular values : 3.47034 , 1.85815, 9.92492 for the matrix D None of these is 4, but the product is 4^3 = 64 . I don't know why that happened.
Report

08/13/20

Parisa D.

tutor
The singular values of matrix A are roots of eigenvalues of matrix A^T A, which in this case, they are not 4.
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08/13/20

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