New posts in orthogonal-matrices

Does $A^T A$ have complex eigenvalues?

linear-algebra eigenvalues-eigenvectors diagonalization symmetric-matrices orthogonal-matrices

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

linear-algebra combinatorics matrices proof-verification orthogonal-matrices

Which matrices commute with $\operatorname{SO}_n$?

group-theory lie-groups symmetry orthogonal-matrices

$A^TA=B^TB$. Is $A=QB$ for some orthogonal $Q$?

linear-algebra orthogonal-matrices

Does SO(3) preserve the cross product?

linear-algebra cross-product orthogonal-matrices linear-groups

Sub-determinants of an orthogonal matrix

linear-algebra euclidean-geometry orthogonal-matrices

Orthogonal matrices form a compact set [duplicate]

general-topology matrices compactness orthogonal-matrices

Fake Proof for Dimension of $SO(n)$ (rotations)?

solution-verification lie-groups rotations fake-proofs orthogonal-matrices

Is it possible to have a $3 \times 3$ matrix that is both orthogonal and skew-symmetric?

linear-algebra matrices orthogonal-matrices skew-symmetric-matrices

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

linear-algebra matrices eigenvalues-eigenvectors orthogonal-matrices

Where is the error in my argument that SO(4) contains a 7-dimensional subspace?

vector-spaces lie-groups rotations orthogonal-matrices

If $B-A=ww^{\top}$ for symmetric and orthogonal matrices $A$ and $B$, how to show that $w$ has two nonzero entries?

linear-algebra matrices symmetric-matrices orthogonal-matrices

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

linear-algebra abstract-algebra group-theory orthogonal-matrices

Is the seven-dimensional cross product unique?

lie-groups cross-product orthogonal-matrices octonions exceptional-isomorphisms

Is sum of two orthogonal matrices singular?

linear-algebra matrices determinant orthogonal-matrices

Compactness of the set of $n \times n$ orthogonal matrices

matrices compactness orthogonal-matrices

Difference between orthogonal and orthonormal matrices

linear-algebra matrices isometry orthogonal-matrices unitary-matrices

Why are orthogonal matrices generalizations of rotations and reflections?

linear-algebra matrices rotations reflection orthogonal-matrices

Confusion regarding real inner-products and the spectral theorem for symmetric matrices

inner-products spectral-theory orthogonal-matrices

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

linear-algebra matrices geometry rotations orthogonal-matrices