query: Determinant of $n\times n$ matrix $|i-j|$
positive_passages.docid: 23847
positive_passages.text: Determinant of a matrix whose $(i,j)$th element is $|i-j|$?
negative_passages.docid: 69735
negative_passages.text: Find the determinant of the following matrix
negative_passages.docid: 93903
negative_passages.text: What is the determinant of cofactor matrix of a matrix?
negative_passages.docid: 129743
negative_passages.text: $A$ be a $2\times 2$ real matrix with trace $2$ and determinant $-3$
negative_passages.docid: 81770
negative_passages.text: Determinant of an $n\times n$ complex matrix as an $2n\times 2n$ real determinant
negative_passages.docid: 104575
negative_passages.text: Formula for determinant of block matrix with commuting blocks
negative_passages.docid: 70381
negative_passages.text: Find the determinant of a symmetric matrix
negative_passages.docid: 18964
negative_passages.text: Find the determinant of $I + A$
negative_passages.docid: 517
negative_passages.text: Determinant of a specially structured matrix ($a$'s on the diagonal, all other entries equal to $b$)
negative_passages.docid: 107128
negative_passages.text: Let $B$ be a nilpotent $n\times n$ matrix with complex entries let $A = B-I$ then find $\det(A)$
negative_passages.docid: 15452
negative_passages.text: Proving determinant product rule combinatorially
negative_passages.docid: 78224
negative_passages.text: Suppose $A$ is a general $n \times n$ matrix and $B$ is obtained by interchanging two rows of $A$. Prove that $\det(B) = -\det(A)$
negative_passages.docid: 14646
negative_passages.text: Prove $\det(kA)=k^n\det A$
negative_passages.docid: 135421
negative_passages.text: Determinant of an $n\times n$ Toeplitz matrix
negative_passages.docid: 98646
negative_passages.text: Show determinant of matrix is non-zero
negative_passages.docid: 84279
negative_passages.text: The average determinant of all integer matrices with coefficients $0,1,2$
negative_passages.docid: 29568
negative_passages.text: Prove that the determinant of $ A^{-1} = \frac{1}{det(A)} $- Linear Algebra