query: Matrix identity with symmetry conditions
positive_passages.docid: 94383
positive_passages.text: Prove that $A^TD-C^TB=I$
negative_passages.docid: 123679
negative_passages.text: General Information about Eigenvalues for an 3x3 symmetric matrix
negative_passages.docid: 146438
negative_passages.text: Determinant of a special skew-symmetric matrix
negative_passages.docid: 57027
negative_passages.text: Determinant of this skew symmetric matrix
negative_passages.docid: 153127
negative_passages.text: Is $U=V$ in the SVD of a symmetric positive semidefinite matrix?
negative_passages.docid: 90576
negative_passages.text: Symmetric matrix eigenvalues
negative_passages.docid: 29788
negative_passages.text: Eigenvalues of a matrix whose square equals its transpose
negative_passages.docid: 33396
negative_passages.text: Generalizing a Trig Identity
negative_passages.docid: 149086
negative_passages.text: Determining $\mbox{tr}(A)$ and $\det(A)$ as functions of the eigenvalues of a matrix
negative_passages.docid: 116136
negative_passages.text: Proof that the inverse of a square matrix is unique
negative_passages.docid: 137920
negative_passages.text: Proving an equation with invertible matrices
negative_passages.docid: 58595
negative_passages.text: Existence of a G-invariant matrix
negative_passages.docid: 12355
negative_passages.text: Sylvester's determinant identity
negative_passages.docid: 133036
negative_passages.text: Jordan normal form and invertible matrix of generalized eigenvectors proof
negative_passages.docid: 144145
negative_passages.text: Symmetric $3\times 3$ Matrices - Base matrix
negative_passages.docid: 30665
negative_passages.text: Elegant proofs that similar matrices have the same characteristic polynomial?
negative_passages.docid: 19132
negative_passages.text: Similar matrices have the same eigenvalues with the same geometric multiplicity