Proof: Show that $A^2=A$ is diagonalizable
71833
Are idempotent matrices always diagonalizable?
115782
Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz
10828
If $A^2 = I$, then $A$ is diagonalizable, and is $I$ if $1$ is its only eigenvalue
61868
Prove that $ND = DN$ where $D$ is a diagonalizable and $N$ is a nilpotent matrix.
98135
Show that the determinant of $A$ is equal to the product of its eigenvalues
112701
Prove that if matrix $A$ is nilpotent, then $I+A$ is invertible.
104374
Diagonalizability of an involution over a Field
32103
Show that for a $2\times 2$ matrix $A^2=0$
154327
$A^2X = X$ show that $AX = X$, if $A_{ij} > 0$ and $x_{i} > 0$
80022
Eigenvector of A by $A^2$
79739
Block diagonal matrix diagonalizable
80544
Need verification - Prove a Hermitian matrix $(\textbf{A}^\ast = \textbf{A})$ has only real eigenvalues
51967
Prove that if the sum of each row of $A$ equals $s$, then $s$ is an eigenvalue of $A$.
129977
Prove that $\lambda_1^2$, $\lambda_1\lambda_2$ and $\lambda_2^2$ are eigenvalues of matrix $A$
145447
bilinear form - proof
26801
Show that orthogonal matrices are diagonalizable
61539
proof for a basis in $L^2$