Showing that the set of $2 \times 2$ real orthogonal matrices has a particular parameterization
10493
Prove any orthogonal 2-by-2 can be written in one of these forms....
59055
Diagonalizable transformation restricted to an invariant subspace is diagonalizable
94844
Unitary map between sets of vectors
32767
Similar Matrices and Linear Transformations
127882
Proofs involving orthonormal basis
30889
Classifying complex $2\times 2$ matrices up to similarity
95928
Independence and orthogonality
59598
The vectors are orthonormal
124095
$A$ is a real orthogonal matrix, prove that $ (I+A)^{-1}(I-A)$ is skew-symmetric
65888
A counterexample to theorem about orthogonal projection
25335
Orthogonal matrix over cross product
133449
A proof that an orthogonal matrix with a determinant 1 is a rotation matrix
75215
Properties of invertible matrices
133711
Orthogonal basis for infinite-dimensional vector spaces
1865
Sub-determinants of an orthogonal matrix
60005
Determining the Orbits/Orbit Space of $O(3)$ on Real 3 by 3 Traceless Symmetric Matrices
84522
A better proof for $\det(P) = \pm1$ if $P$ is an orthogonal matrix