New posts in Orthogonal Matrices

4D Left Isoclinic Rotations as double rotations

Find $\sup _\limits{Q \in M_{4\times 2} (\mathbb{R}), Q^{T} Q=I_{2}} \operatorname{tr}\left(Q^{T} A Q\right)$

Prove that $T(v) = v,$ for some $v \in \Bbb R^3 \setminus \{0\}.$

Irreducible representations of $SO(N)$

An open set invariant under a linear map implies it is an isometry or of finite order?

Which matrices $A\in\text{Mat}_{n\times n}(\mathbb{K})$ are orthogonally diagonalizable over $\mathbb{K}$?

Fundamental group of $\{\text{diag}(A,B) \colon A,B \in SO(2)\} /\{I,-I\}$

An elegant proof for a claim about orthogonal and positive-definite matrices

A conceptual reason for why the Jacobian of a rotation by a changing angle is $1$?

Number of possible zero entries in orthogonal matrices