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Determinant and Orthogonal group

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Determinant and Orthogonal group

Determinant vs. Orthogonal group

In linear algebra, the determinant is a value that can be computed from the elements of a square matrix. 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.

Similarities between Determinant and Orthogonal group

Determinant and Orthogonal group have 26 things in common (in Unionpedia): Absolute value, Academic Press, Algebraic group, Bivector, Dimension, Discriminant, Dot product, Euclidean space, Field (mathematics), Identity matrix, Invertible matrix, Lie group, Linear map, Matrix multiplication, Multiplicative group, Orientation (vector space), Orthogonal group, Orthogonal matrix, Orthonormal basis, Permutation matrix, Real number, Rotation (mathematics), Special unitary group, Symmetric group, Transpose, Vector space.

Absolute value

In mathematics, the absolute value or modulus of a real number is the non-negative value of without regard to its sign.

Absolute value and Determinant · Absolute value and Orthogonal group · See more »

Academic Press

Academic Press is an academic book publisher.

Academic Press and Determinant · Academic Press and Orthogonal group · See more »

Algebraic group

In algebraic geometry, an algebraic group (or group variety) is a group that is an algebraic variety, such that the multiplication and inversion operations are given by regular maps on the variety.

Algebraic group and Determinant · Algebraic group and Orthogonal group · See more »

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 Determinant · Bivector and Orthogonal group · See more »

Dimension

In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.

Determinant and Dimension · Dimension and Orthogonal group · See more »

Discriminant

In algebra, the discriminant of a polynomial is a polynomial function of its coefficients, which allows deducing some properties of the roots without computing them.

Determinant and Discriminant · Discriminant and Orthogonal group · See more »

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.

Determinant and Dot product · Dot product and Orthogonal group · See more »

Euclidean space

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

Determinant and Euclidean space · Euclidean space and Orthogonal group · See more »

Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

Determinant and Field (mathematics) · Field (mathematics) and Orthogonal group · See more »

Identity matrix

In linear algebra, the identity matrix, or sometimes ambiguously called a unit matrix, of size n is the n × n square matrix with ones on the main diagonal and zeros elsewhere.

Determinant and Identity matrix · Identity matrix and Orthogonal group · See more »

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.

Determinant and Invertible matrix · Invertible matrix and Orthogonal group · See more »

Lie group

In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.

Determinant and Lie group · Lie group and Orthogonal group · See more »

Linear map

In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication.

Determinant and Linear map · Linear map and Orthogonal group · See more »

Matrix multiplication

In mathematics, matrix multiplication or matrix product is a binary operation that produces a matrix from two matrices with entries in a field, or, more generally, in a ring or even a semiring.

Determinant and Matrix multiplication · Matrix multiplication and Orthogonal group · See more »

Multiplicative group

In mathematics and group theory, the term multiplicative group refers to one of the following concepts.

Determinant and Multiplicative group · Multiplicative group and Orthogonal group · See more »

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.

Determinant and Orientation (vector space) · Orientation (vector space) and Orthogonal group · See more »

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.

Determinant and Orthogonal group · Orthogonal group and Orthogonal group · See more »

Orthogonal matrix

In linear algebra, an orthogonal matrix is a square matrix whose columns and rows are orthogonal unit vectors (i.e., orthonormal vectors), i.e. where I is the identity matrix.

Determinant and Orthogonal matrix · Orthogonal group and Orthogonal matrix · See more »

Orthonormal basis

In mathematics, particularly linear algebra, an orthonormal basis for an inner product space V with finite dimension is a basis for V whose vectors are orthonormal, that is, they are all unit vectors and orthogonal to each other.

Determinant and Orthonormal basis · Orthogonal group and Orthonormal basis · See more »

Permutation matrix

\pi.

Determinant and Permutation matrix · Orthogonal group and Permutation matrix · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Determinant and Real number · Orthogonal group and Real number · See more »

Rotation (mathematics)

Rotation in mathematics is a concept originating in geometry.

Determinant and Rotation (mathematics) · Orthogonal group and Rotation (mathematics) · See more »

Special unitary group

In mathematics, the special unitary group of degree, denoted, is the Lie group of unitary matrices with determinant 1.

Determinant and Special unitary group · Orthogonal group and Special unitary group · See more »

Symmetric group

In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions.

Determinant and Symmetric group · Orthogonal group and Symmetric group · See more »

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).

Determinant and Transpose · Orthogonal group and Transpose · See more »

Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

Determinant and Vector space · Orthogonal group and Vector space · See more »

The list above answers the following questions

Determinant and Orthogonal group Comparison

Determinant has 190 relations, while Orthogonal group has 178. As they have in common 26, the Jaccard index is 7.07% = 26 / (190 + 178).

References

This article shows the relationship between Determinant and Orthogonal group. To access each article from which the information was extracted, please visit:

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