Proving an invertible matrix which is its own inverse has determinant $1$ or $-1$
4509
Proof that an involutory matrix has eigenvalues 1,-1
51406
Determinant of a block matrix times the determinant of the inverse of a block
29568
Prove that the determinant of $ A^{-1} = \frac{1}{det(A)} $- Linear Algebra
108589
The inverse of the matrix $\{1/(i+j-1)\}$
149292
Inverse of a diagonal matrix plus a constant
66729
For a square matrix $A$ presence of $n$ linearly independent eigenvectors implies full rank, thereby invertible?
150387
Questions about matrix rank, trace, and invertibility
142640
Prove determinant of a matrix $=\prod_{j<i}(a_i-a_j)$
1865
Sub-determinants of an orthogonal matrix
259
Proving the determinant of a tridiagonal matrix with $-1, 2, -1$ on diagonal.
116376
Prove the determinant is the product of its diagonal entries
150715
Prove that the determinant of skew-symmetric matrices of odd order is zero
55018
Prove that $A^*A + I$ is invertible
149364
Characteristic polynomial of an inverse
133036
Jordan normal form and invertible matrix of generalized eigenvectors proof
32487
Proving $\det \left( \begin{smallmatrix} A & -B \\ B & A \end{smallmatrix} \right) =|\det(A+iB)|^2$
127127
Prove condition number of a invertible matrix is atleast one