Every n × n-matrix A with real entries has at least one real eigenvalue.
45527
Do real matrices always have real eigenvalues?
128835
Compactness of the set of $n \times n$ orthogonal matrices
51967
Prove that if the sum of each row of $A$ equals $s$, then $s$ is an eigenvalue of $A$.
33448
Proof if $AB+BA=0$ Then atleast one of the matrices are singular.
81176
A normal matrix with real eigenvalues is Hermitian
12955
Classification of $n\times n$ real matrices up to congruence
80544
Need verification - Prove a Hermitian matrix $(\textbf{A}^\ast = \textbf{A})$ has only real eigenvalues
119387
If $A$ is any matrix then $A^*A$ and $AA^*$ are Hermitian with non-negative eigenvalues
135420
Determining eigenvalues, eigenvectors of $A\in \mathbb{R}^{n\times n}(n\geq 2)$.
145397
How to prove that for every $i$, $a_i = i$
25357
Matrices $B$ that commute with every matrix commuting with $A$
125569
Prove that the eigenvalues of a real symmetric matrix are real
7457
Prove that $J^+AJ$ has positive eigenvalues
63260
Matrices whose Linear Combinations are All Singular
139317
If $A$ is a complex matrix of size $n$ of finite order then is $A$ diagonalizable ?
95103
A rational matrix such that $A^{2017}=I_n$
4509
Proof that an involutory matrix has eigenvalues 1,-1