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Adjacency matrix and Matrix (mathematics)

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

Difference between Adjacency matrix and Matrix (mathematics)

Adjacency matrix vs. Matrix (mathematics)

In graph theory and computer science, an adjacency matrix is a square matrix used to represent a finite graph. In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

Similarities between Adjacency matrix and Matrix (mathematics)

Adjacency matrix and Matrix (mathematics) have 17 things in common (in Unionpedia): Adjacency matrix, Characteristic polynomial, Determinant, Distance matrix, Eigenvalues and eigenvectors, Graph (discrete mathematics), Graph theory, Linear map, Logical matrix, Matrix multiplication, Permutation matrix, Real number, Square matrix, Symmetric group, Symmetric matrix, Trace (linear algebra), Zero matrix.

Adjacency matrix

In graph theory and computer science, an adjacency matrix is a square matrix used to represent a finite graph.

Adjacency matrix and Adjacency matrix · Adjacency matrix and Matrix (mathematics) · See more »

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.

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Determinant

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

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Distance matrix

In mathematics, computer science and especially graph theory, a distance matrix is a square matrix (two-dimensional array) containing the distances, taken pairwise, between the elements of a set.

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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.

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Graph (discrete mathematics)

In mathematics, and more specifically in graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related".

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Graph theory

In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.

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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.

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Logical matrix

A logical matrix, binary matrix, relation matrix, Boolean matrix, or (0,1) matrix is a matrix with entries from the Boolean domain Such a matrix can be used to represent a binary relation between a pair of finite sets.

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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.

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Permutation matrix

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Real number

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

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Square matrix

In mathematics, a square matrix is a matrix with the same number of rows and columns.

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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.

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Symmetric matrix

In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose.

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Trace (linear algebra)

In linear algebra, the trace of an n-by-n square matrix A is defined to be the sum of the elements on the main diagonal (the diagonal from the upper left to the lower right) of A, i.e., where aii denotes the entry on the ith row and ith column of A. The trace of a matrix is the sum of the (complex) eigenvalues, and it is invariant with respect to a change of basis.

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Zero matrix

In mathematics, particularly linear algebra, a zero matrix or null matrix is a matrix all of whose entries are zero.

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The list above answers the following questions

Adjacency matrix and Matrix (mathematics) Comparison

Adjacency matrix has 62 relations, while Matrix (mathematics) has 352. As they have in common 17, the Jaccard index is 4.11% = 17 / (62 + 352).

References

This article shows the relationship between Adjacency matrix and Matrix (mathematics). To access each article from which the information was extracted, please visit:

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