If A and B are both diagonalizable, is AB also diagonalizable?
35834
Is the product of any two invertible diagonalizable matrices diagonalizable?
3682
If $V = \text{null}(\textsf{T}-\lambda\textsf{I}) \oplus \text{range}(\textsf{T}-\lambda\textsf{I})$, then prove that $\textsf{T}$ is diagonalizable
118283
Show that if $A^{n}=I$ then $A$ is diagonalizable.
111800
If $a|c$ and $b|d$, is it true that $ab|cd$?
139934
In $\mathbb{Z}/(n)$, does $(a) = (b)$ imply that $a$ and $b$ are associates?
62474
If $AB=I_n$ and $BA=I_m$ then $n=m$.
5322
Let $A$ be a complex matrix such that $A^n = I$, show that $A$ is diagonalisable.
142855
If $A$, $B$ are both pairwise independent of $C$, do we have that $A \cap B$ is also independent of $C$?
33477
Proving that if $A$ is a $8\times 8$ matrix over $\mathbb{R}$ and $A^3=A$, then $A$ is diagonalizable.
78265
Diagonalizable matrix with parameters
146795
Proof If $AB-I$ Invertible then $BA-I$ invertible.
72541
Is the matrix diagonalizable for all values of t?
68238
Diagonalisable or not?
53113
$I-AB$ be invertible $\Leftrightarrow$ $I-BA$ is invertible
155884
What are the conditions on $\text{tr}(AB) \leq \text{tr(A)} \text{tr(B)}$ to be true?
28155
Two questions about diagonalization
141173
Are there matrices such that $AB=I$ and $BA \neq I$