If $A$ and $B$ commute, show that they have a common eigenvector?
715
How do I prove that in every commuting family there is a common eigenvector?
37061
The order of $ab$ when $a,b$ commute
151332
If $A,B$ have eigenvalues $\pm1$, what can I say about the eigenvalues of $AB,BA$?
67990
Commutativity of matrix and its transpose
64353
Does the set of matrix commutators form a subspace?
106288
Prove that the eigenvalues of a block matrix are the combined eigenvalues of its blocks
50384
A matrix and its transpose have the same set of eigenvalues/other version: $A$ and $A^T$ have the same spectrum
42500
Let $A$ and $B$ be matrices over $\mathbb C$. Then pick out the correct statements.
138707
show that if $a | c$ and $b | c$, then $ab | c$ when $a$ is coprime to $b$.
49330
If for two suitable matrices $B$ and $C$, $AA^TB=AA^TC$ can we conclude that $A^TB=A^TC$?
44898
Help with commutative property of matrices problem
121830
The commutators of related vector fields are related
17032
If $ab=ba$, Prove $a^2$ commutes with $b^2$
93325
Difference In Eigenvectors
25357
Matrices $B$ that commute with every matrix commuting with $A$
49527
Prove that $a$ commutes with each of its conjugates in $G$ iff $a$ belongs to an abelian normal subgroup of $G$.
75066
If the product of two square matrices is invertible, then both matrices are invertible