How do I prove that $A$ and $B$ are simultaneously diagonalizable?
36613
Prove that simultaneously diagonalizable matrices commute
59055
Diagonalizable transformation restricted to an invariant subspace is diagonalizable
79739
Block diagonal matrix diagonalizable
106288
Prove that the eigenvalues of a block matrix are the combined eigenvalues of its blocks
66092
Simultaneous diagonalization of commuting linear transformations
24856
Proving sup(A + B) = sup A + sup B
73155
Prove that for any square matrix, an invertible matrix B exists, so that BA is triangular
151148
How to solve simultaneous inequalities?
122853
Show that $\operatorname{rank}(A) = \operatorname{rank}(B)$
7712
How to prove the both identity (matrix)
61868
Prove that $ND = DN$ where $D$ is a diagonalizable and $N$ is a nilpotent matrix.
158845
Given $A$ and $B$ positive-definite matrices and $Q$ unitary matrix, prove that if $A = BQ$, then $A=B$.
8920
There exists $C\neq0$ with $CA=BC$ iff $A$ and $B$ have a common eigenvalue
28155
Two questions about diagonalization
141173
Are there matrices such that $AB=I$ and $BA \neq I$
75117
$\mathrm{rank}(AB-BA)=1$ implies $A$ and $B$ are simultaneously triangularisable
63475
Is there any connection between a matrix being invertible and being diagonalizable?