Proving equality for orthogonal matrices
77587
Cross product: matrix transformation identity
6960
Necessary and sufficient condition for the matrix $A = I - 2 x x^t$ to be orthogonal
155082
If $P$ is real orthogonal matrix with $\det P = -1$, prove that $-1$ is an eigenvalue of $P$.
113779
If $P$ is an orthogonal matrix its columns form an orthonormal set.
130498
Linear algebra proof regarding matrices
30665
Elegant proofs that similar matrices have the same characteristic polynomial?
35278
Does equality of characteristic polynomials guarantee equivalence of matrices?
33355
Proving that matrix in equation is invertible
39430
Orthogonal matrix and orthonormal columns
116823
VERIFYING: Proving an $n \times n$ Matrix Vector Space
94639
Proof that the rank of a skew-symmetric matrix is at least $2$
5616
How can I prove the IFF condition for this group of matrices?
32767
Similar Matrices and Linear Transformations
37985
Show that $|x|^2 = |y|^2$ with $A$ orthogonal and $Ax = \cos (θ)x − \sin (θ)y$, $Ay = \sin (θ)x + \cos (θ) y$
134244
Determinant of a matrix will all off-diagonal elements equal
87262
How to prove positive semidefiniteness of two matrices through Schur Complement?
15417
Tricky problem on skew-symmetric matrices