If $T^\ast=T^{2017}$ then $T$ is diagonalizable
70157
Is every matrix $A$ such that $A^k=I$ diagonalizable?
61538
Given a square matrix $A$, both $AA^T$ and $A^TA$ are symmetric
90757
$T$ self-adjoint on Hilbert space $H$, $T^n=T^{n+1}$ will $T$ be an orthogonal projection operator?
68238
Diagonalisable or not?
89047
If a matrix is triangular, is there a quicker way to tell if it is can be diagonalized?
63475
Is there any connection between a matrix being invertible and being diagonalizable?
14161
Proof of when is $A=X^TX$ invertible?
78307
Under what conditions is $AA^T$ invertible?
37953
Primary Decomposition of $\mathbb{R^n}$ under T
118996
Prove that $T$ is an orthogonal projection
50384
A matrix and its transpose have the same set of eigenvalues/other version: $A$ and $A^T$ have the same spectrum
52928
If $\mathrm{Tr}(A)=0$ then $T=R^{-1}AR$ has all entries on its main diagonal equal to $0$
112707
Must $Q^\mathsf{T}Q = I$ if $(Qx)^\mathsf{T}(Qx) = x^\mathsf{T}x$
23095
Prove that T is a linear transformation
118283
Show that if $A^{n}=I$ then $A$ is diagonalizable.
104258
Proof Verification: $\dim\mathrm{Im} T+\dim\ker T=\dim V$
28003
How to prove $A+ A^T$ symmetric, $A-A^T$ skew-symmetric.