Talk:Determinant
Determinant has been listed as a level4 vital article in Mathematics. If you can improve it, please do. This article has been rated as BClass. 
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Right handed coordinante
the following sentence is not clear. "The determinant of a set of vectors is positive if the vectors form a righthanded coordinate system, and negative if lefthanded." what does "righthanded coordinate system" means? the "coordinate system" article does not mention it. amit man
Possible to do/see also items
linear algebra/analytic geometry
linear independence/collinearity, Gram determinant, tensor, positive definite matrix (Sylvester's criterion), defining a plane, Lineline intersection, Cayley–Hamilton_theorem, cross product, Matrix representation of conic sections, adjugate matrix, similar matrix have same det (Similarity invariance), Cauchy–Binet formula, Trilinear_coordinates, Trace diagram, Pfaffian
types of matrices
special linear group, special orthogonal group, special unitary group, indefinite special orthogonal group, modular group, unimodular matrix, matrices with multidimensional indices
number theory/algebra
Pell's equation/continued fraction?, discriminant, Minkowski's theorem/lattice, Partition_(number_theory), resultant, field norm, Dirichlet's_unit_theorem, discriminant of an algebraic number field
geometry, analysis
conformal map?, Gauss curvature, orientability, Integration by substitution, Wronskian, invariant theory, Monge–Ampère equation, Brascamp–Lieb_inequality, Liouville's formula, absolute value of cx numbers and quaternions (see 3sphere), distance geometry (Cayley–Menger determinant), Delaunay_triangulation
open questions
Jacobian conjecture, Hadamard's maximal determinant problem
algorithms
polar decomposition, QR decomposition, Dodgson_condensation, Matrix_determinant_lemma, eigendecomposition a few papers: Monte carlo for sparse matrices, approximation of det of large matrices, The Permutation Algorithm for NonSparse Matrix Determinant in Symbolic Computation, DETERMINANT APPROXIMATIONS
examples
reflection matrix, Rotation matrix, Vandermonde matrix, Circulant matrix, Hessian matrix (Blob_detection#The_determinant_of_the_Hessian), block matrix, Gram determinant, Elementary_matrix, Orr–Sommerfeld_equation, det of Cartan matrix
generalizations
Hyperdeterminant, Quasideterminant, Continuant (mathematics), Immanant of a matrix, permanent, Pseudodeterminant, det's of infinite matrices / regularized det / functional determinant (see also operator theory), Fredholm determinant, superdeterminant
other
Determinantal point process, Kirchhoff's theorem,
books
[1]
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Determinant inequalities
There is a problem with the determinant inequalities in the properties with determinants section. If we take the determinant of a commutator
then
But if and has a nonzero determinant, there is a contradiction. — Preceding unsigned comment added by Username6330 (talk • contribs) 21:56, 10 November 2017 (UTC)