query: Eigenvalues of symmetric orthogonal matrix
positive_passages.docid: 16562
positive_passages.text: what are the eigenvalues in orthgonal matrix, How to explain?
negative_passages.docid: 29788
negative_passages.text: Eigenvalues of a matrix whose square equals its transpose
negative_passages.docid: 4509
negative_passages.text: Proof that an involutory matrix has eigenvalues 1,-1
negative_passages.docid: 19649
negative_passages.text: A question about the proof of "a symmetric matrix has real eigenvalues".
negative_passages.docid: 16439
negative_passages.text: What are the eigenvalues of matrix that have all elements equal 1?
negative_passages.docid: 86246
negative_passages.text: Basis for Skew Symmetric Matrix
negative_passages.docid: 26801
negative_passages.text: Show that orthogonal matrices are diagonalizable
negative_passages.docid: 112900
negative_passages.text: Eigenvalue of a polynomial evaluated in a operator
negative_passages.docid: 24454
negative_passages.text: The relationship between the eigenvalues of matrices $XY$ and $YX$
negative_passages.docid: 149916
negative_passages.text: Minimum eigenvalue and singular value of a square matrix
negative_passages.docid: 28584
negative_passages.text: Eigenvalues and eigenspaces of AB
negative_passages.docid: 84999
negative_passages.text: $\exp(A)$ is orthogonal iff $A$ is skew symmetric
negative_passages.docid: 112353
negative_passages.text: Prove that all 2x2 orthogonal matrices can be expressed as Rotation or Reflection
negative_passages.docid: 81176
negative_passages.text: A normal matrix with real eigenvalues is Hermitian
negative_passages.docid: 25335
negative_passages.text: Orthogonal matrix over cross product
negative_passages.docid: 59402
negative_passages.text: Comparing Eigenvalues of Positive Semidefinite Matrices
negative_passages.docid: 135420
negative_passages.text: Determining eigenvalues, eigenvectors of $A\in \mathbb{R}^{n\times n}(n\geq 2)$.