Can anyone explain why commuting matrices share common eigenvector?
85581
Matrices commute if and only if they share a common basis of eigenvectors?
3544
Eigenvectors of a circulant matrix
103087
What is the duality relationship between eigensystems of X X' vs X' X?
75796
Is every skew-adjoint matrix a commutator of two self-adjoint matrices
71040
If $ \operatorname{Tr}(M^k) = \operatorname{Tr}(N^k)\;\forall 1\leq k \leq n$, then how do we show the $M$ and $N$ have the same eigenvalues?
72326
Determinant of block matrix with commuting blocks
44898
Help with commutative property of matrices problem
151347
Why do operators belonging to different Hilbert spaces commute?
74460
Matrices A+B=AB implies A commutes with B
92744
These two operators commute...but their eigenvectors aren't all the same. Why?
30665
Elegant proofs that similar matrices have the same characteristic polynomial?
40478
If $C$ commutes with certain matrices $A$ and $B$, why is $C$ a scalar multiple of the identity?
36613
Prove that simultaneously diagonalizable matrices commute
120937
Matrices that commute with all matrices
88975
I need an intuitive explanation of eigenvalues and eigenvectors
49977
Show that the collection of matrices which commute with every idempotent matrix are the scalar matrices
91636
Are all eigenvectors, of any matrix, always orthogonal?