query: Determinant of $\left(\begin{smallmatrix} -2a &a+b &a+c \\ b+a& -2b &b+c \\ c+a&c+b & -2c \end{smallmatrix}\right)$
positive_passages.docid: 101040
positive_passages.text: Prove the equality: $\det\left[\begin{smallmatrix} -2a &a+b &a+c \\ b+a&-2b &b+c \\ c+a&c+b &-2c \end{smallmatrix}\right] = 4(a+b)(b+c)(c+a)$
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: 125348
negative_passages.text: Does $\det(A + B) = \det(A) + \det(B)$ hold?
negative_passages.docid: 135421
negative_passages.text: Determinant of an $n\times n$ Toeplitz matrix
negative_passages.docid: 32487
negative_passages.text: Proving $\det \left( \begin{smallmatrix} A & -B \\ B & A \end{smallmatrix} \right) =|\det(A+iB)|^2$
negative_passages.docid: 10083
negative_passages.text: Determinant of matrix times a constant.
negative_passages.docid: 110200
negative_passages.text: Determinant of a Special Symmetric Matrix
negative_passages.docid: 120649
negative_passages.text: Calculate a determinant with pattern
negative_passages.docid: 6005
negative_passages.text: Find the determinant of a Vandermonde-like matrix
negative_passages.docid: 55062
negative_passages.text: $2\times 2$ matrix $C=AB-BA$
negative_passages.docid: 20653
negative_passages.text: Geometric meaning of the determinant of a matrix
negative_passages.docid: 79031
negative_passages.text: Determinant of the Kronecker Product of Two Matrices
negative_passages.docid: 90982
negative_passages.text: How to find the determinant of this $3 \times 3$ Hankel matrix?
negative_passages.docid: 113518
negative_passages.text: Determinant of the inverse matrix
negative_passages.docid: 259
negative_passages.text: Proving the determinant of a tridiagonal matrix with $-1, 2, -1$ on diagonal.
negative_passages.docid: 71231
negative_passages.text: Determinant of circulant-like matrix
negative_passages.docid: 81770
negative_passages.text: Determinant of an $n\times n$ complex matrix as an $2n\times 2n$ real determinant