New posts in Orthogonal Matrices

Find three real orthogonal matrices of order $3$ having all integer entries.

The set of traces of orthogonal matrices is compact

Eigenvalues in orthogonal matrices

Why are orthogonal matrices generalizations of rotations and reflections?

Center of the Orthogonal Group and Special Orthogonal Group

Show that the set of all $n \times n$ orthogonal matrices, $O(n)$, is a compact subset of $\mbox{GL} (n,\mathbb R)$

In which cases is the inverse of a matrix equal to its transpose?

Necessary and sufficient condition for the matrix $A = I - 2 x x^t$ to be orthogonal

Why does $A^TA=I, \det A=1$ mean $A$ is a rotation matrix?

Why is the orthogonal group $\operatorname{O}(2n,\mathbb R)$ not the direct product of $\operatorname{SO}(2n, \mathbb R)$ and $\mathbb Z_2$?