If M and N are square matrices, Prove that MN and NM have the same eigenvalues
88349
Are the eigenvalues of $AB$ equal to the eigenvalues of $BA$? (Citation needed!)
153392
Let $A$ be a $n\times n$ matrix such that $a_{ij}=ij$,find the eigenvalues of the matrix $A$.
24454
The relationship between the eigenvalues of matrices $XY$ and $YX$
158724
Show that $B$ is diagonalizable if If $AB=BA$ and $A$ has distinct real eigenvalues
88473
Proof that the trace of a matrix is the sum of its eigenvalues
10478
Matrix reciprocal positive to prove $λ_{max⁡}=n$
123044
Commutative matrices are multiples of the identity
7712
How to prove the both identity (matrix)
48658
Let $A$ and $B$ be $n\times n$ matrices. Suppose $A$ is similar to $B$. Prove trace($A$) = trace($B$).
129977
Prove that $\lambda_1^2$, $\lambda_1\lambda_2$ and $\lambda_2^2$ are eigenvalues of matrix $A$
11566
Similar matrices and minimal polynomial
93531
Do commuting matrices share the same eigenvectors?
125569
Prove that the eigenvalues of a real symmetric matrix are real
106584
If $A^{2n}=I$, then $A^n=\pm I$ where $A\in M_n(\mathbb{R})$
146046
Are two matrices having the same characteristic and minimal polynomial always similar?
106288
Prove that the eigenvalues of a block matrix are the combined eigenvalues of its blocks
154666
similar matrices have same eigenvalue... stuck