Similarities between Matrix (mathematics) and Trace (linear algebra)
Matrix (mathematics) and Trace (linear algebra) have 40 things in common (in Unionpedia): Associative algebra, Basis (linear algebra), Bilinear form, Characteristic polynomial, Complex number, Derivative, Determinant, Diagonal matrix, Dimension (vector space), Dot product, Dual space, Eigenvalues and eigenvectors, Group representation, Hadamard product (matrices), Hermitian matrix, Hilbert space, Identity matrix, Inner product space, Jordan normal form, Kronecker product, Linear map, Main diagonal, Matrix calculus, Matrix exponential, Matrix multiplication, Matrix norm, Positive-definite matrix, Rank (linear algebra), Real number, Representation theory, ..., Scalar (mathematics), Skew-symmetric matrix, Special linear group, Square matrix, Statistics, Superalgebra, Symmetric matrix, Transpose, Triangular matrix, Vector space. Expand index (10 more) »
Associative algebra
In mathematics, an associative algebra is an algebraic structure with compatible operations of addition, multiplication (assumed to be associative), and a scalar multiplication by elements in some field.
Associative algebra and Matrix (mathematics) · Associative algebra and Trace (linear algebra) ·
Basis (linear algebra)
In mathematics, a set of elements (vectors) in a vector space V is called a basis, or a set of, if the vectors are linearly independent and every vector in the vector space is a linear combination of this set.
Basis (linear algebra) and Matrix (mathematics) · Basis (linear algebra) and Trace (linear algebra) ·
Bilinear form
In mathematics, more specifically in abstract algebra and linear algebra, a bilinear form on a vector space V is a bilinear map, where K is the field of scalars.
Bilinear form and Matrix (mathematics) · Bilinear form and Trace (linear algebra) ·
Characteristic polynomial
In linear algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues as roots.
Characteristic polynomial and Matrix (mathematics) · Characteristic polynomial and Trace (linear algebra) ·
Complex number
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
Complex number and Matrix (mathematics) · Complex number and Trace (linear algebra) ·
Derivative
The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).
Derivative and Matrix (mathematics) · Derivative and Trace (linear algebra) ·
Determinant
In linear algebra, the determinant is a value that can be computed from the elements of a square matrix.
Determinant and Matrix (mathematics) · Determinant and Trace (linear algebra) ·
Diagonal matrix
In linear algebra, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero.
Diagonal matrix and Matrix (mathematics) · Diagonal matrix and Trace (linear algebra) ·
Dimension (vector space)
In mathematics, the dimension of a vector space V is the cardinality (i.e. the number of vectors) of a basis of V over its base field.
Dimension (vector space) and Matrix (mathematics) · Dimension (vector space) and Trace (linear algebra) ·
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.
Dot product and Matrix (mathematics) · Dot product and Trace (linear algebra) ·
Dual space
In mathematics, any vector space V has a corresponding dual vector space (or just dual space for short) consisting of all linear functionals on V, together with the vector space structure of pointwise addition and scalar multiplication by constants.
Dual space and Matrix (mathematics) · Dual space and Trace (linear algebra) ·
Eigenvalues and eigenvectors
In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.
Eigenvalues and eigenvectors and Matrix (mathematics) · Eigenvalues and eigenvectors and Trace (linear algebra) ·
Group representation
In the mathematical field of representation theory, group representations describe abstract groups in terms of linear transformations of vector spaces; in particular, they can be used to represent group elements as matrices so that the group operation can be represented by matrix multiplication.
Group representation and Matrix (mathematics) · Group representation and Trace (linear algebra) ·
Hadamard product (matrices)
In mathematics, the Hadamard product (also known as the Schur product or the entrywise product) is a binary operation that takes two matrices of the same dimensions, and produces another matrix where each element i,j is the product of elements i,j of the original two matrices.
Hadamard product (matrices) and Matrix (mathematics) · Hadamard product (matrices) and Trace (linear algebra) ·
Hermitian matrix
In mathematics, a Hermitian matrix (or self-adjoint matrix) is a complex square matrix that is equal to its own conjugate transpose—that is, the element in the -th row and -th column is equal to the complex conjugate of the element in the -th row and -th column, for all indices and: Hermitian matrices can be understood as the complex extension of real symmetric matrices.
Hermitian matrix and Matrix (mathematics) · Hermitian matrix and Trace (linear algebra) ·
Hilbert space
The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.
Hilbert space and Matrix (mathematics) · Hilbert space and Trace (linear algebra) ·
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.
Identity matrix and Matrix (mathematics) · Identity matrix and Trace (linear algebra) ·
Inner product space
In linear algebra, an inner product space is a vector space with an additional structure called an inner product.
Inner product space and Matrix (mathematics) · Inner product space and Trace (linear algebra) ·
Jordan normal form
In linear algebra, a Jordan normal form (often called Jordan canonical form) of a linear operator on a finite-dimensional vector space is an upper triangular matrix of a particular form called a Jordan matrix, representing the operator with respect to some basis.
Jordan normal form and Matrix (mathematics) · Jordan normal form and Trace (linear algebra) ·
Kronecker product
In mathematics, the Kronecker product, denoted by ⊗, is an operation on two matrices of arbitrary size resulting in a block matrix.
Kronecker product and Matrix (mathematics) · Kronecker product and Trace (linear algebra) ·
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.
Linear map and Matrix (mathematics) · Linear map and Trace (linear algebra) ·
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.
Main diagonal and Matrix (mathematics) · Main diagonal and Trace (linear algebra) ·
Matrix calculus
In mathematics, matrix calculus is a specialized notation for doing multivariable calculus, especially over spaces of matrices.
Matrix (mathematics) and Matrix calculus · Matrix calculus and Trace (linear algebra) ·
Matrix exponential
In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function.
Matrix (mathematics) and Matrix exponential · Matrix exponential and Trace (linear algebra) ·
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.
Matrix (mathematics) and Matrix multiplication · Matrix multiplication and Trace (linear algebra) ·
Matrix norm
In mathematics, a matrix norm is a vector norm in a vector space whose elements (vectors) are matrices (of given dimensions).
Matrix (mathematics) and Matrix norm · Matrix norm and Trace (linear algebra) ·
Positive-definite matrix
In linear algebra, a symmetric real matrix M is said to be positive definite if the scalar z^Mz is strictly positive for every non-zero column vector z of n real numbers.
Matrix (mathematics) and Positive-definite matrix · Positive-definite matrix and Trace (linear algebra) ·
Rank (linear algebra)
In linear algebra, the rank of a matrix A is the dimension of the vector space generated (or spanned) by its columns.
Matrix (mathematics) and Rank (linear algebra) · Rank (linear algebra) and Trace (linear algebra) ·
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
Matrix (mathematics) and Real number · Real number and Trace (linear algebra) ·
Representation theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.
Matrix (mathematics) and Representation theory · Representation theory and Trace (linear algebra) ·
Scalar (mathematics)
A scalar is an element of a field which is used to define a vector space.
Matrix (mathematics) and Scalar (mathematics) · Scalar (mathematics) and Trace (linear algebra) ·
Skew-symmetric matrix
In mathematics, particularly in linear algebra, a skew-symmetric (or antisymmetric or antimetric) matrix is a square matrix whose transpose equals its negative; that is, it satisfies the condition In terms of the entries of the matrix, if aij denotes the entry in the and; i.e.,, then the skew-symmetric condition is For example, the following matrix is skew-symmetric: 0 & 2 & -1 \\ -2 & 0 & -4 \\ 1 & 4 & 0\end.
Matrix (mathematics) and Skew-symmetric matrix · Skew-symmetric matrix and Trace (linear algebra) ·
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.
Matrix (mathematics) and Special linear group · Special linear group and Trace (linear algebra) ·
Square matrix
In mathematics, a square matrix is a matrix with the same number of rows and columns.
Matrix (mathematics) and Square matrix · Square matrix and Trace (linear algebra) ·
Statistics
Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.
Matrix (mathematics) and Statistics · Statistics and Trace (linear algebra) ·
Superalgebra
In mathematics and theoretical physics, a superalgebra is a Z2-graded algebra.
Matrix (mathematics) and Superalgebra · Superalgebra and Trace (linear algebra) ·
Symmetric matrix
In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose.
Matrix (mathematics) and Symmetric matrix · Symmetric matrix and Trace (linear algebra) ·
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).
Matrix (mathematics) and Transpose · Trace (linear algebra) and Transpose ·
Triangular matrix
In the mathematical discipline of linear algebra, a triangular matrix is a special kind of square matrix.
Matrix (mathematics) and Triangular matrix · Trace (linear algebra) and Triangular matrix ·
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.
Matrix (mathematics) and Vector space · Trace (linear algebra) and Vector space ·
The list above answers the following questions
- What Matrix (mathematics) and Trace (linear algebra) have in common
- What are the similarities between Matrix (mathematics) and Trace (linear algebra)
Matrix (mathematics) and Trace (linear algebra) Comparison
Matrix (mathematics) has 352 relations, while Trace (linear algebra) has 91. As they have in common 40, the Jaccard index is 9.03% = 40 / (352 + 91).
References
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