Show that any two different columns of an orthogonal matrix are orthogonal vectors, as are any two different rows.
39430
Orthogonal matrix and orthonormal columns
128835
Compactness of the set of $n \times n$ orthogonal matrices
17087
Question concerning linear combinations of vectors and linear independence in Linear Algebra.
60231
Number of equivalence classes of matrices under switching rows and columns
18205
Orthogonal Projection
112353
Prove that all 2x2 orthogonal matrices can be expressed as Rotation or Reflection
52564
$m\times n$ matrix with an even number of 1s in each row and column
126337
Eigenvalues in orthogonal matrices
64644
An $r\times r$ submatrix of independent rows and independent columns is invertible (Michael Artin's book).
36771
How to prove that A is normal if and only if there's a unitary matrix V,s.t. A*=AV?
6319
Finding an orthonormal basis for a matrix
60723
Prove that if $A$ is normal, then eigenvectors corresponding to distinct eigenvalues are necessarily orthogonal (alternative proof)
30017
Orthogonality and linear independence
11397
How do I write this matrix as a product of elementary row matrices.
35625
Direct sum of orthogonal subspaces
52946
If $X$ is an orthogonal matrix, why does $X^TX = I$?
37985
Show that $|x|^2 = |y|^2$ with $A$ orthogonal and $Ax = \cos (θ)x − \sin (θ)y$, $Ay = \sin (θ)x + \cos (θ) y$