Real matrix with the property that every nonzero vector in $\mathbb{R}^n$ is an eigenvector of $A$.
35013
Demonstration: If all vectors of $V$ are eigenvectors of $T$, then there is one $\lambda$ such that $T(v) = \lambda v$ for all $v \in V$.
99384
What are the Complex (Non-Real) Eigenvectors of $3\times 3$ Rotation Matrices?
5322
Let $A$ be a complex matrix such that $A^n = I$, show that $A$ is diagonalisable.
133036
Jordan normal form and invertible matrix of generalized eigenvectors proof
33477
Proving that if $A$ is a $8\times 8$ matrix over $\mathbb{R}$ and $A^3=A$, then $A$ is diagonalizable.
66729
For a square matrix $A$ presence of $n$ linearly independent eigenvectors implies full rank, thereby invertible?
12213
Similarity of real matrices over $\mathbb{C}$
80346
If every eigenvector of $T$ is also an eigenvector of $T^{*}$ then $T$ is a normal operator
144082
Every $n\times n$ matrix is the sum of a diagonalizable matrix and a nilpotent matrix.
102317
Is there a geometrical interpretation to the notion of eigenvector and eigenvalues?
116539
Eigenvalues of matrix satisfying $A^2 = A$
6547
Given $3$-dimensional subspaces $V, W \subset \Bbb R^5$, there is a nonzero vector in $V \cap W$
145396
Symmetric Matrix , Eigenvectors are not orthogonal to the same eigenvalue.
52208
Show that a matrix $A$ is singular if and only if $0$ is an eigenvalue.
80544
Need verification - Prove a Hermitian matrix $(\textbf{A}^\ast = \textbf{A})$ has only real eigenvalues
117808
A real nxn matrix always has a real eigenvalue when n is odd
75104
Existence of some type matrix