Eigenvector and eigenvalue of $\mathbf A+\lambda\mathbf I$ where $\mathbf A=\mathbf{vv}^\top$
2271
Determinant of a rank $1$ update of a scalar matrix, or characteristic polynomial of a rank $1$ matrix
117533
$|A-\lambda I|$ and $|\lambda I-A|$
88975
I need an intuitive explanation of eigenvalues and eigenvectors
7376
Find $\det(A^{2}+A^{T})$ when eigenvalues are $1,2,3$
3544
Eigenvectors of a circulant matrix
50384
A matrix and its transpose have the same set of eigenvalues/other version: $A$ and $A^T$ have the same spectrum
151594
Systems of linear differential equations - eigenvectors
41932
Prove that $\lambda = 0$ is an eigenvalue if and only if A is singular.
55377
Non-zero eigenvalues of $AA^T$ and $A^TA$
102317
Is there a geometrical interpretation to the notion of eigenvector and eigenvalues?
132366
Diagonalizability of $A \in M_{n}(\Bbb{R})$ (Upper traingular matrix) with all diagonal entries 1 and $A \neq I$?
125569
Prove that the eigenvalues of a real symmetric matrix are real
9220
If $\lambda$ is an eigenvalue of $A^2$, then either $\sqrt{\lambda}$ or $-\sqrt{\lambda}$ is an eigenvalue of $A$
109471
The eigenvectors of the transpose operator
24454
The relationship between the eigenvalues of matrices $XY$ and $YX$
106288
Prove that the eigenvalues of a block matrix are the combined eigenvalues of its blocks
157246
Adjoint matrix eigenvalues and eigenvectors