Faster access than browser!Similarities between Cross product and Determinant
Cross product and Determinant have 27 things in common (in Unionpedia): Area, Augustin-Louis Cauchy, Bivector, Commutative property, Computational geometry, Dot product, Exterior algebra, Invertible matrix, Joseph-Louis Lagrange, Laplace expansion, Levi-Civita symbol, Linear independence, Main diagonal, Orientation (vector space), Orthogonal group, Parallelepiped, Parallelogram, Parity of a permutation, Plane (geometry), Rotation (mathematics), Rotation matrix, Row and column vectors, Rule of Sarrus, Special linear group, Standard basis, Tetrahedron, Transpose.
Area
Area is the quantity that expresses the extent of a two-dimensional figure or shape, or planar lamina, in the plane.
Area and Cross product · Area and Determinant ·
Augustin-Louis Cauchy
Baron Augustin-Louis Cauchy FRS FRSE (21 August 178923 May 1857) was a French mathematician, engineer and physicist who made pioneering contributions to several branches of mathematics, including: mathematical analysis and continuum mechanics.
Augustin-Louis Cauchy and Cross product · Augustin-Louis Cauchy and Determinant ·
Bivector
In mathematics, a bivector or 2-vector is a quantity in exterior algebra or geometric algebra that extends the idea of scalars and vectors.
Bivector and Cross product · Bivector and Determinant ·
Commutative property
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.
Commutative property and Cross product · Commutative property and Determinant ·
Computational geometry
Computational geometry is a branch of computer science devoted to the study of algorithms which can be stated in terms of geometry.
Computational geometry and Cross product · Computational geometry and Determinant ·
Dot product
In mathematics, the dot product or scalar productThe term scalar product is often also used more generally to mean a symmetric bilinear form, for example for a pseudo-Euclidean space.
Cross product and Dot product · Determinant and Dot product ·
Exterior algebra
In mathematics, the exterior product or wedge product of vectors is an algebraic construction used in geometry to study areas, volumes, and their higher-dimensional analogs.
Cross product and Exterior algebra · Determinant and Exterior algebra ·
Invertible matrix
In linear algebra, an n-by-n square matrix A is called invertible (also nonsingular or nondegenerate) if there exists an n-by-n square matrix B such that where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.
Cross product and Invertible matrix · Determinant and Invertible matrix ·
Joseph-Louis Lagrange
Joseph-Louis Lagrange (or;; born Giuseppe Lodovico Lagrangia, Encyclopædia Britannica or Giuseppe Ludovico De la Grange Tournier, Turin, 25 January 1736 – Paris, 10 April 1813; also reported as Giuseppe Luigi Lagrange or Lagrangia) was an Italian Enlightenment Era mathematician and astronomer.
Cross product and Joseph-Louis Lagrange · Determinant and Joseph-Louis Lagrange ·
Laplace expansion
In linear algebra, the Laplace expansion, named after Pierre-Simon Laplace, also called cofactor expansion, is an expression for the determinant |B| of an n × n matrix B that is a weighted sum of the determinants of n sub-matrices of B, each of size (n−1) × (n−1).
Cross product and Laplace expansion · Determinant and Laplace expansion ·
Levi-Civita symbol
In mathematics, particularly in linear algebra, tensor analysis, and differential geometry, the Levi-Civita symbol represents a collection of numbers; defined from the sign of a permutation of the natural numbers, for some positive integer.
Cross product and Levi-Civita symbol · Determinant and Levi-Civita symbol ·
Linear independence
In the theory of vector spaces, a set of vectors is said to be if one of the vectors in the set can be defined as a linear combination of the others; if no vector in the set can be written in this way, then the vectors are said to be.
Cross product and Linear independence · Determinant and Linear independence ·
Main diagonal
In linear algebra, the main diagonal (sometimes principal diagonal, primary diagonal, leading diagonal, or major diagonal) of a matrix A is the collection of entries A_ where i.
Cross product and Main diagonal · Determinant and Main diagonal ·
Orientation (vector space)
In mathematics, orientation is a geometric notion that in two dimensions allows one to say when a cycle goes around clockwise or counterclockwise, and in three dimensions when a figure is left-handed or right-handed.
Cross product and Orientation (vector space) · Determinant and Orientation (vector space) ·
Orthogonal group
In mathematics, the orthogonal group in dimension, denoted, is the group of distance-preserving transformations of a Euclidean space of dimension that preserve a fixed point, where the group operation is given by composing transformations.
Cross product and Orthogonal group · Determinant and Orthogonal group ·
Parallelepiped
In geometry, a parallelepiped is a three-dimensional figure formed by six parallelograms (the term rhomboid is also sometimes used with this meaning).
Cross product and Parallelepiped · Determinant and Parallelepiped ·
Parallelogram
In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides.
Cross product and Parallelogram · Determinant and Parallelogram ·
Parity of a permutation
In mathematics, when X is a finite set of at least two elements, the permutations of X (i.e. the bijective functions from X to X) fall into two classes of equal size: the even permutations and the odd permutations.
Cross product and Parity of a permutation · Determinant and Parity of a permutation ·
Plane (geometry)
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.
Cross product and Plane (geometry) · Determinant and Plane (geometry) ·
Rotation (mathematics)
Rotation in mathematics is a concept originating in geometry.
Cross product and Rotation (mathematics) · Determinant and Rotation (mathematics) ·
Rotation matrix
In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space.
Cross product and Rotation matrix · Determinant and Rotation matrix ·
Row and column vectors
In linear algebra, a column vector or column matrix is an m × 1 matrix, that is, a matrix consisting of a single column of m elements, Similarly, a row vector or row matrix is a 1 × m matrix, that is, a matrix consisting of a single row of m elements Throughout, boldface is used for the row and column vectors.
Cross product and Row and column vectors · Determinant and Row and column vectors ·
Rule of Sarrus
Sarrus' rule or Sarrus' scheme is a method and a memorization scheme to compute the determinant of a 3×3 matrix.
Cross product and Rule of Sarrus · Determinant and Rule of Sarrus ·
Special linear group
In mathematics, the special linear group of degree n over a field F is the set of matrices with determinant 1, with the group operations of ordinary matrix multiplication and matrix inversion.
Cross product and Special linear group · Determinant and Special linear group ·
Standard basis
In mathematics, the standard basis (also called natural basis) for a Euclidean space is the set of unit vectors pointing in the direction of the axes of a Cartesian coordinate system.
Cross product and Standard basis · Determinant and Standard basis ·
Tetrahedron
In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.
Cross product and Tetrahedron · Determinant and Tetrahedron ·
Transpose
In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal, that is it switches the row and column indices of the matrix by producing another matrix denoted as AT (also written A′, Atr, tA or At).
The list above answers the following questions
- What Cross product and Determinant have in common
- What are the similarities between Cross product and Determinant
Cross product and Determinant Comparison
Cross product has 134 relations, while Determinant has 190. As they have in common 27, the Jaccard index is 8.33% = 27 / (134 + 190).
References
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