Prove that $A$ is diagonalizable iff $A^{m}$ is diagonalizable for $m \in \mathbb{N}$
30049
If $T^m$ is diagonalizable for a $m\in\mathbb N$, then $T$ is diagonalizable.
46147
Proving $(\forall a\in\mathbb{Z^+})(m\in\mathbb{Z^+}\to a^m\equiv a^{m-\phi(m)}\pmod{m})$
31898
Sufficient conditions for $x, Ax, A^2x, ...$ being linearly indepedent
78265
Diagonalizable matrix with parameters
35834
Is the product of any two invertible diagonalizable matrices diagonalizable?
5616
How can I prove the IFF condition for this group of matrices?
32965
Proving that for infinite $\kappa$, $|[\kappa]^\lambda|=\kappa^\lambda$
146795
Proof If $AB-I$ Invertible then $BA-I$ invertible.
4952
Let $A$ be a diagonalizable matrix and $\lambda$ be an eigenvalue of A. Prove that rank($\lambda I - A$) = rank(($\lambda I - A)^2$).
152817
Proving $\sup B=\inf A$
72541
Is the matrix diagonalizable for all values of t?
25488
Let $A,B$ be $m\times m$ matrices such that $AB$ is invertible. Show $A,B$ invertible.
106584
If $A^{2n}=I$, then $A^n=\pm I$ where $A\in M_n(\mathbb{R})$
43246
Showing that if $a<b$, then $a^{1/n} < b^{1/n}$
30882
Proving Invertibility and Eigenvalues
123803
If $X^n$ is a diagonal matrix with distinct eigenvalues, then is $X$ also a diagonal matrix with distinct eigenvalues?
80751
diagonalisability of matrix few properties