query: Why can this equation be written as determinant?
positive_passages.docid: 151471
positive_passages.text: Equation of a sphere as the determinant of its variables and sampled points
negative_passages.docid: 55056
negative_passages.text: To show: $\det\left[\begin{smallmatrix} -bc & b^2+bc & c^2+bc\\ a^2+ac & -ac & c^2+ac \\ a^2+ab & b^2+ab & -ab \end{smallmatrix}\right]=(ab+bc+ca)^3$
negative_passages.docid: 150715
negative_passages.text: Prove that the determinant of skew-symmetric matrices of odd order is zero
negative_passages.docid: 61580
negative_passages.text: Calculating the determinant gives $(a^2+b^2+c^2+d^2)^2$?
negative_passages.docid: 98646
negative_passages.text: Show determinant of matrix is non-zero
negative_passages.docid: 21885
negative_passages.text: Why is the determinant useful when finding eigenvectors?
negative_passages.docid: 58921
negative_passages.text: How to calculate the determinant of all-ones matrix minus the identity?
negative_passages.docid: 91028
negative_passages.text: determinant of a matrix with binomial coefficient entries
negative_passages.docid: 71604
negative_passages.text: Why is the determinant of the 0x0 matrix equal 1?
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: 49946
negative_passages.text: A determinant coming out from the computation of a volume form
negative_passages.docid: 110825
negative_passages.text: Determinant of circulant matrix
negative_passages.docid: 17394
negative_passages.text: Sign of determinant when using $det A^\top A$
negative_passages.docid: 84341
negative_passages.text: Can the determinant of a matrix can be made $0$?
negative_passages.docid: 106619
negative_passages.text: Determinant of matrix
negative_passages.docid: 5183
negative_passages.text: Divisibility of determinant.
negative_passages.docid: 142363
negative_passages.text: The determinant of a block Matrix of Order $2n$