A = P BP^ −1 . (i) Show that two similar matrices have the same spectrum. Is the converse true?
95717
Same eigenvalues, but not similar
97281
Question regarding matrices with same image
19649
A question about the proof of "a symmetric matrix has real eigenvalues".
79526
How do I tell if matrices are similar?
97733
Can it be determined that the sum of the diagonal entries, of matrix A, equals the sum of eigenvalues of A
154666
similar matrices have same eigenvalue... stuck
24454
The relationship between the eigenvalues of matrices $XY$ and $YX$
116558
Consider two linear operators $\hat{A}$ and $\hat{B}$. Show that $e^{\hat{A}}e^{\hat{B}}=e^{\hat{A}+\hat{B}}e^{[\hat{A},\hat{B}]/2}$
151332
If $A,B$ have eigenvalues $\pm1$, what can I say about the eigenvalues of $AB,BA$?
100731
Positive operator has a positive spectrum?
149629
The Eigenvalues of a block matrix
84626
Why in these matrices are $AB=BA$ not equal? What is the logic behind them?
106097
Spectrum of the sum of two commuting matrices
136643
Continuity of eigenvalues and spectral radius for a general matrix
135171
Under what conditions is the difference between a rank $1$, postive semidefinite matrix and a hermitian matrix positive semidefinite?
104293
How to prove "eigenvalues of polynomial of matrix $A$ = polynomial of eigenvalues of matrix $A$ "
93531
Do commuting matrices share the same eigenvectors?