New posts in Diagonalization

Given that matrix $A$ is diagonalizable and has eigenvalues of $0$ or $1$, show that $A^2 = A$

Show that $A$ is diagonalisable when $P(A)$ is diagonalisable and $P'(A)$ is invertible

Intuition on spectral theorem

Is $\left(\begin{smallmatrix}0&0&1\\1&0&0\\ 0&1&0\end{smallmatrix}\right)$ diagonalizable over $\mathbb{Z}_2$?

Which matrices $A\in\text{Mat}_{n\times n}(\mathbb{K})$ are orthogonally diagonalizable over $\mathbb{K}$?

If $V = \text{null}(\textsf{T}-\lambda\textsf{I}) \oplus \text{range}(\textsf{T}-\lambda\textsf{I})$, then prove that $\textsf{T}$ is diagonalizable

$A$ and $A^2$ have same characteristic polynomial

Let $A$ be an $n*n$ matrix such that $A^3=A^2+A-I$. If $A$ Is diagonalizable Show that $A=A^{-1}$

Are these square matrices always diagonalisable?

If $A$ is invertible and $A^n$ is diagonalizable, then $A$ is diagonalizable.