Each eigenvalue of $A$ is equal to $\pm 1$. Why is $A$ similar to $A^{-1}$?
104424
If each eigenvalueof $A$ is either $+1$ or $-1$ $ \Rightarrow$ $A$ is similar to ${A^{ - 1}}$
129647
$A^{-1}$ has integer entries if and only if the ${\rm det}\ (A) =\pm 1$
115467
Eigenvalues of Householder matrix
128453
If $A$ has two eigenvalues $\lambda _1, \lambda_2$ and $\dim (E_{\lambda_1})=n-1$, then $A$ is diagonalizable
71040
If $ \operatorname{Tr}(M^k) = \operatorname{Tr}(N^k)\;\forall 1\leq k \leq n$, then how do we show the $M$ and $N$ have the same eigenvalues?
118304
If $A^2 = I$ (Identity Matrix) then $A = \pm I$
104293
How to prove "eigenvalues of polynomial of matrix $A$ = polynomial of eigenvalues of matrix $A$ "
16439
What are the eigenvalues of matrix that have all elements equal 1?
78736
Check my proof that $(ab)^{-1} = b^{-1} a^{-1}$
51678
Proof that the largest eigenvalue of a stochastic matrix is $1$
45261
Why is the determinant of a rotation matrix equal to 1?
75536
every eigenvalue of $T$ has only one corresponding eigenvector up to a scalar multiplication
80544
Need verification - Prove a Hermitian matrix $(\textbf{A}^\ast = \textbf{A})$ has only real eigenvalues
97733
Can it be determined that the sum of the diagonal entries, of matrix A, equals the sum of eigenvalues of A
127799
Eigenvalues of symmetric matrices are real without (!) complex numbers
80022
Eigenvector of A by $A^2$
30923
Is the matrix $A^*A$ and $AA^*$ hermitian?