query: Is the determinant of $\left( \begin{array}{rr} A & B\\ -B & A \end{array}\right) $ non-negative?
positive_passages.docid: 20920
positive_passages.text: Determinant of a block skew-symmetric matrix
negative_passages.docid: 17394
negative_passages.text: Sign of determinant when using $det A^\top A$
negative_passages.docid: 69735
negative_passages.text: Find the determinant of the following matrix
negative_passages.docid: 2548
negative_passages.text: Finding determinant of matrix without expanding
negative_passages.docid: 101452
negative_passages.text: How is the determinant related to the inverse of matrix?
negative_passages.docid: 123526
negative_passages.text: Finding determinant for a matrix with one value on the diagonal and another everywhere else
negative_passages.docid: 71151
negative_passages.text: If $a_{ij}=\max(i,j)$, calculate the determinant of $A$
negative_passages.docid: 142957
negative_passages.text: How to evaluate the determinant
negative_passages.docid: 116376
negative_passages.text: Prove the determinant is the product of its diagonal entries
negative_passages.docid: 79907
negative_passages.text: Determinant of a square matrix in a field
negative_passages.docid: 20653
negative_passages.text: Geometric meaning of the determinant of a matrix
negative_passages.docid: 146351
negative_passages.text: Effect of elementary row operations on determinant?
negative_passages.docid: 71604
negative_passages.text: Why is the determinant of the 0x0 matrix equal 1?
negative_passages.docid: 106619
negative_passages.text: Determinant of matrix
negative_passages.docid: 142640
negative_passages.text: Prove determinant of a matrix $=\prod_{j<i}(a_i-a_j)$
negative_passages.docid: 17430
negative_passages.text: If $\operatorname{rank}\left( \begin{bmatrix} A &B \\ C &D \end{bmatrix}\right)=n$ prove that $\det(AD)=\det(BC)$
negative_passages.docid: 119076
negative_passages.text: General expression for determinant of a block-diagonal matrix