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Results tagged with eigenvalues
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user 496243
eigenvalues of matrices or operators
5
votes
2
answers
715
views
Matrices with same eigenvalues
This question is a more precise version of this question.
Let's assume we have the matrix
$$\left(
\begin{array}{ccccc}
0 & a & 0 & 0 & 0 \\
f & 0 & b & 0 & 0 \\
0 & e & 0 & c & 0 \\
0 & 0 & d & 0 …
3
votes
1
answer
293
views
Eigenvalues two-fold degenerate
Consider the matrix $$A:=\left(
\begin{array}{cccc}
0 & a & 0 & 0 \\
f & 0 & b & 0 \\
0 & e & 0 & c \\
0 & 0 & d & 0 \\
\end{array}
\right)$$
I noticed that if I square this matrix then the eigenvalues …
1
vote
1
answer
126
views
Matrix transformation that always works?
.$$
That there exists one such matrix for each set of coefficients is clear, since the eigenvalues of the two $3x3$ matrices are the same. I am looking for one that works for all choices. …