query: Find the determinant of an $n \times n$ square matrix $A$ whose entries are $a_{ij} = \max(i,j)$
positive_passages.docid: 71151
positive_passages.text: If $a_{ij}=\max(i,j)$, calculate the determinant of $A$
negative_passages.docid: 69980
negative_passages.text: Proving that if $A$ is an $n\times n$ orthogonal matrix, then $\det(A) = \pm1$
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: 5489
negative_passages.text: Can we use Sarrus' method for finding the determinant of matrix greater than $3\times3$?
negative_passages.docid: 20920
negative_passages.text: Determinant of a block skew-symmetric matrix
negative_passages.docid: 118190
negative_passages.text: Determinant of a Toeplitz matrix
negative_passages.docid: 65305
negative_passages.text: Minimal polynomial for an invertible matrix and its determinant
negative_passages.docid: 45658
negative_passages.text: Determinant of a special $n\times n$ matrix
negative_passages.docid: 63461
negative_passages.text: Determinant and alternating multilinear function
negative_passages.docid: 5183
negative_passages.text: Divisibility of determinant.
negative_passages.docid: 69735
negative_passages.text: Find the determinant of the following matrix
negative_passages.docid: 72578
negative_passages.text: Determinant value of a square matrix whose each entry is the g.c.d. of row and column position
negative_passages.docid: 23847
negative_passages.text: Determinant of a matrix whose $(i,j)$th element is $|i-j|$?
negative_passages.docid: 22933
negative_passages.text: Closed-form solution for the determinant of a Vandermonde-like matrix
negative_passages.docid: 134244
negative_passages.text: Determinant of a matrix will all off-diagonal elements equal
negative_passages.docid: 79907
negative_passages.text: Determinant of a square matrix in a field
negative_passages.docid: 2109
negative_passages.text: Max dimension of a subspace of singular $n\times n$ matrices