query: Show that the orthogonal operator is a Skew-symmetric operator
positive_passages.docid: 17217
positive_passages.text: Linear algebra skew symmetric
negative_passages.docid: 23089
negative_passages.text: Differences between symmetric, Hermitian, self-adjoint, and essentially self-adjoint operators
negative_passages.docid: 6960
negative_passages.text: Necessary and sufficient condition for the matrix $A = I - 2 x x^t$ to be orthogonal
negative_passages.docid: 112353
negative_passages.text: Prove that all 2x2 orthogonal matrices can be expressed as Rotation or Reflection
negative_passages.docid: 118996
negative_passages.text: Prove that $T$ is an orthogonal projection
negative_passages.docid: 36090
negative_passages.text: $TT^*=T^2$, show that $T$ is self-adjoint
negative_passages.docid: 22297
negative_passages.text: Normal operator $\Rightarrow$ S invariant implies $S^\perp$ invariant
negative_passages.docid: 70455
negative_passages.text: Why are all nonzero eigenvalues of the skew-symmetric real matrices pure imaginary?
negative_passages.docid: 26249
negative_passages.text: Self adjoint operators and trace class property
negative_passages.docid: 156858
negative_passages.text: Kernel of powers of a normal operator
negative_passages.docid: 128229
negative_passages.text: Proving that the transformation obtained from an adjoint pair is natural
negative_passages.docid: 107992
negative_passages.text: Bilinear form with symmetric "perpendicular" relation is either symmetric or skew-symmetric
negative_passages.docid: 39430
negative_passages.text: Orthogonal matrix and orthonormal columns
negative_passages.docid: 59598
negative_passages.text: The vectors are orthonormal
negative_passages.docid: 15417
negative_passages.text: Tricky problem on skew-symmetric matrices
negative_passages.docid: 141015
negative_passages.text: Proof of orthogonal matrix
negative_passages.docid: 133609
negative_passages.text: orthonormal system in a Hilbert space