query: equality of spectrums
positive_passages.docid: 88349
positive_passages.text: Are the eigenvalues of $AB$ equal to the eigenvalues of $BA$? (Citation needed!)
negative_passages.docid: 68951
negative_passages.text: Normalization of the overlap $\langle x'|p'\rangle$
negative_passages.docid: 67344
negative_passages.text: What is spectrum for Laplacian in $\mathbb{R}^n$?
negative_passages.docid: 49524
negative_passages.text: Frequency division and signal spectrum
negative_passages.docid: 127882
negative_passages.text: Proofs involving orthonormal basis
negative_passages.docid: 94741
negative_passages.text: Are all infinities equal?
negative_passages.docid: 13971
negative_passages.text: find spectrum matrix A
negative_passages.docid: 107234
negative_passages.text: Is the mean of equal length subsets always equal to the mean of the set?
negative_passages.docid: 104424
negative_passages.text: If each eigenvalueof $A$ is either $+1$ or $-1$ $ \Rightarrow$ $A$ is similar to ${A^{ - 1}}$
negative_passages.docid: 150228
negative_passages.text: If $E$ has eigenvalues $\lambda_1, \ldots, \lambda_n$, then $B \mapsto [E,B] = EB - BE$ has eigenvalues $\lambda_i - \lambda_j$.
negative_passages.docid: 37162
negative_passages.text: Prove that matrices have equal rank.
negative_passages.docid: 117533
negative_passages.text: $|A-\lambda I|$ and $|\lambda I-A|$
negative_passages.docid: 50830
negative_passages.text: Case of equality in Markov's inequality
negative_passages.docid: 59402
negative_passages.text: Comparing Eigenvalues of Positive Semidefinite Matrices
negative_passages.docid: 97733
negative_passages.text: Can it be determined that the sum of the diagonal entries, of matrix A, equals the sum of eigenvalues of A
negative_passages.docid: 150756
negative_passages.text: Equality of integrals
negative_passages.docid: 53640
negative_passages.text: Equality of mixed partial derivatives