query: Dot product of two vectors as the eigenvalue of a special matrix
positive_passages.docid: 5058
positive_passages.text: Eigenvalues of the rank one matrix $uv^T$
negative_passages.docid: 143923
negative_passages.text: Why can the cross product of two vectors be calculated as the determinant of a matrix?
negative_passages.docid: 80544
negative_passages.text: Need verification - Prove a Hermitian matrix $(\textbf{A}^\ast = \textbf{A})$ has only real eigenvalues
negative_passages.docid: 149916
negative_passages.text: Minimum eigenvalue and singular value of a square matrix
negative_passages.docid: 81176
negative_passages.text: A normal matrix with real eigenvalues is Hermitian
negative_passages.docid: 88473
negative_passages.text: Proof that the trace of a matrix is the sum of its eigenvalues
negative_passages.docid: 149923
negative_passages.text: eigenvalues of A - aI in terms of eigenvalues of A
negative_passages.docid: 47589
negative_passages.text: Product of a primitive matrix and its transpose.
negative_passages.docid: 98135
negative_passages.text: Show that the determinant of $A$ is equal to the product of its eigenvalues
negative_passages.docid: 52260
negative_passages.text: Diagonalization and eigenvalues
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: 106986
negative_passages.text: Eigenvalues of $AB$ and $BA$
negative_passages.docid: 24454
negative_passages.text: The relationship between the eigenvalues of matrices $XY$ and $YX$
negative_passages.docid: 45626
negative_passages.text: How do I calculate the eigenvalues of the positive partial transpose of this two-qubit state?
negative_passages.docid: 127799
negative_passages.text: Eigenvalues of symmetric matrices are real without (!) complex numbers
negative_passages.docid: 3544
negative_passages.text: Eigenvectors of a circulant matrix
negative_passages.docid: 7376
negative_passages.text: Find $\det(A^{2}+A^{T})$ when eigenvalues are $1,2,3$