New posts in Orthogonal Matrices

For which $P,Q \in \text{SO}$ $T_P\text{SO}$ and $T_Q\text{SO}$ are parallel?

Which matrices can be realized as second derivatives of orthogonal paths?

What is the physical significance of the determinants of orthogonal matrices having the value of $\pm 1$?

What does $A^{-1}=A^T$ have to do with “orthogonality”?

Does SO(3) preserve the cross product?

Examples of matrices that are both skew-symmetric and orthogonal

Parametric representation of orthogonal matrices

Isometries of $\mathbb{S}^2$

How many $3 \times 3$ integer matrices are orthogonal?

For an orthogonal matrix $Q$, why does $QQ^T = I$?