Prove that matrix A is regular and find $A^{-1}$?
129564
Show that $A$ is an invertible matrix if $\left(A+I\right)^3=0$ and find $A^{-1}$
134075
Inverse of $A^{-1}+B^{-1}$
69980
Proving that if $A$ is an $n\times n$ orthogonal matrix, then $\det(A) = \pm1$
80544
Need verification - Prove a Hermitian matrix $(\textbf{A}^\ast = \textbf{A})$ has only real eigenvalues
259
Proving the determinant of a tridiagonal matrix with $-1, 2, -1$ on diagonal.
148946
If $\mathbf{A}$ is a $2\times 2$ matrix that satisfies $\mathbf{A}^2 - 4\mathbf{A} - 7\mathbf{I} = \mathbf{0}$, then $\mathbf{A}$ is invertible
27281
How to prove $\,x^a-1 \mid x^b-1 \iff a\mid b$
109736
For a 2x2 matrix A satisfying $A^k=I$, compute $e^A$
129647
$A^{-1}$ has integer entries if and only if the ${\rm det}\ (A) =\pm 1$
28861
Given an invertible matrix $A$ such that all elements in $A$ and in $𝐴^{−1}$ are integers, find $|𝐴^4|$
137920
Proving an equation with invertible matrices
116136
Proof that the inverse of a square matrix is unique
85297
find a $3 \times 3$ matrix $A$ such that $A \neq I_3$ and $A^{197}=I_3$.
4509
Proof that an involutory matrix has eigenvalues 1,-1
127127
Prove condition number of a invertible matrix is atleast one
73697
Let $A, B$ be $n\times n$ with $n\ge 2$ nonsingular matrices with real entries such that $A^{-1} + B^{-1} =(A+B)^{-1}$
116539
Eigenvalues of matrix satisfying $A^2 = A$