Show that in a Matrix A, if the sum of the elements in the row for each row is u, then u is an eigenvalue
51967
Prove that if the sum of each row of $A$ equals $s$, then $s$ is an eigenvalue of $A$.
57543
Show that a matrix is nilpotent.
110086
Let $A$ be an $m \times n$ matrix. Show $A^TA$ and $AA^T$ have the same eigenvalues
16439
What are the eigenvalues of matrix that have all elements equal 1?
76477
Eigenvalues with transpose question.
128453
If $A$ has two eigenvalues $\lambda _1, \lambda_2$ and $\dim (E_{\lambda_1})=n-1$, then $A$ is diagonalizable
86940
Proving an inequality in Eigenvalues of a matrix
19649
A question about the proof of "a symmetric matrix has real eigenvalues".
125569
Prove that the eigenvalues of a real symmetric matrix are real
153448
Show that $A\in\mathbb{C}_n$ is normal $\iff$ $tr(A*A) = \sum_{i = 1}^n|\lambda_i|^2$, where $\lambda_1,...,\lambda_n$ are the eigenvalues 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 $v \in V$.
10828
If $A^2 = I$, then $A$ is diagonalizable, and is $I$ if $1$ is its only eigenvalue
29788
Eigenvalues of a matrix whose square equals its transpose
4509
Proof that an involutory matrix has eigenvalues 1,-1
135316
A basic question on diagonalizability of a matrix
50384
A matrix and its transpose have the same set of eigenvalues/other version: $A$ and $A^T$ have the same spectrum
127127
Prove condition number of a invertible matrix is atleast one