query: Bound on Commutator of Unitary Matrices
positive_passages.docid: 27564
positive_passages.text: Prove that $\|UVU^{-1}V^{-1}-I\|\leq 2\|U-I\|\|V-I\|$
negative_passages.docid: 49977
negative_passages.text: Show that the collection of matrices which commute with every idempotent matrix are the scalar matrices
negative_passages.docid: 73952
negative_passages.text: Upper bound for the sum of absolute values of the eigenvalues
negative_passages.docid: 148753
negative_passages.text: Quantum Stat-Mech Proof of an Inequality for the Partition Function
negative_passages.docid: 44898
negative_passages.text: Help with commutative property of matrices problem
negative_passages.docid: 36613
negative_passages.text: Prove that simultaneously diagonalizable matrices commute
negative_passages.docid: 84535
negative_passages.text: The spectral radius of normal operator
negative_passages.docid: 15417
negative_passages.text: Tricky problem on skew-symmetric matrices
negative_passages.docid: 52324
negative_passages.text: Tight bound for $T(n) = T(n^{1/2}) + 1$
negative_passages.docid: 59477
negative_passages.text: Density of orthogonal matrices with rational coefficients
negative_passages.docid: 25357
negative_passages.text: Matrices $B$ that commute with every matrix commuting with $A$
negative_passages.docid: 75796
negative_passages.text: Is every skew-adjoint matrix a commutator of two self-adjoint matrices
negative_passages.docid: 133449
negative_passages.text: A proof that an orthogonal matrix with a determinant 1 is a rotation matrix
negative_passages.docid: 49439
negative_passages.text: Matrix exponential via Cayley-Hamilton Theorem
negative_passages.docid: 146455
negative_passages.text: Compactness of the set of all unitary matrices in $M_2(\mathbb{C})$
negative_passages.docid: 45130
negative_passages.text: Cyclic vector implies commuting linear operator is a polynomial
negative_passages.docid: 38169
negative_passages.text: Bounds on off-diagonal entries of a correlation matrix