query: How to express the eigenvalue of $AB$ in tems of eigenvalues of $A$ and $B$
positive_passages.docid: 151332
positive_passages.text: If $A,B$ have eigenvalues $\pm1$, what can I say about the eigenvalues of $AB,BA$?
negative_passages.docid: 118981
negative_passages.text: Proving $\sqrt{ab} = \sqrt a\sqrt b$
negative_passages.docid: 140252
negative_passages.text: Matrices - Conditions for $AB+BA=0$
negative_passages.docid: 86125
negative_passages.text: If $A$ is idempotent, then the eigenvalues of $A$ are $0$ or $1$
negative_passages.docid: 123679
negative_passages.text: General Information about Eigenvalues for an 3x3 symmetric matrix
negative_passages.docid: 53993
negative_passages.text: Can Eigenvalues[] and Eigenvectors[] be assumed to return the same ordering?
negative_passages.docid: 30866
negative_passages.text: Relation between rank and number of distinct eigenvalues of a matrix
negative_passages.docid: 89177
negative_passages.text: $\operatorname{adj}(AB) = \operatorname{adj} B \operatorname{adj} A$
negative_passages.docid: 90576
negative_passages.text: Symmetric matrix eigenvalues
negative_passages.docid: 129977
negative_passages.text: Prove that $\lambda_1^2$, $\lambda_1\lambda_2$ and $\lambda_2^2$ are eigenvalues of matrix $A$
negative_passages.docid: 7457
negative_passages.text: Prove that $J^+AJ$ has positive eigenvalues
negative_passages.docid: 56083
negative_passages.text: Find the eigenvalues of a projection operator
negative_passages.docid: 106024
negative_passages.text: The eigenvalues and corresponding eigenvectors for the matrix
negative_passages.docid: 28584
negative_passages.text: Eigenvalues and eigenspaces of AB
negative_passages.docid: 54099
negative_passages.text: What are the eigenvalues of $\operatorname{ad}x$?
negative_passages.docid: 104293
negative_passages.text: How to prove "eigenvalues of polynomial of matrix $A$ = polynomial of eigenvalues of matrix $A$ "
negative_passages.docid: 108132
negative_passages.text: How Do I Compute the Eigenvalues of a Small Matrix?