Are the eigenspaces of a 3x3 symmetric matrix orthogonal?
18012
Eigenvectors of real symmetric matrices are orthogonal
18939
Eigenvalues of the transpose
90576
Symmetric matrix eigenvalues
131611
$A^TA$ is always a symmetric matrix?
21571
Why are real symmetric matrices diagonalizable?
37060
The Parallelogram Identity for an inner product space
154628
What should we understand from the definition of orthogonality in inner product spaces other than $\mathbb R^n$?
22222
Properties of zero-diagonal symmetric matrices
6960
Necessary and sufficient condition for the matrix $A = I - 2 x x^t$ to be orthogonal
10715
Orthogonal projection and two subspaces
86875
Finding the null space of symmetric matrix generated by outer product
3408
Do positive semidefinite matrices have to be symmetric?
115467
Eigenvalues of Householder matrix
90757
$T$ self-adjoint on Hilbert space $H$, $T^n=T^{n+1}$ will $T$ be an orthogonal projection operator?
84677
An Explicit Isomorphism Between the Three Dimensional Orthogonal Lie Algebra and the Special Linear Lie Algebra of Dimension $3$
6319
Finding an orthonormal basis for a matrix
30877
How to show that the set of orthogonal n x n matrices forms a group under multiplication