Laplace expansion and Matrix (mathematics)

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

Difference between Laplace expansion and Matrix (mathematics)

Laplace expansion vs. Matrix (mathematics)

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). In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

Similarities between Laplace expansion and Matrix (mathematics)

Laplace expansion and Matrix (mathematics) have 8 things in common (in Unionpedia): Bijection, Determinant, Invertible matrix, Leibniz formula for determinants, LU decomposition, Minor (linear algebra), Symmetric group, Triangular matrix.

Bijection

In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set.

Bijection and Laplace expansion · Bijection and Matrix (mathematics) · See more »

Determinant

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

Determinant and Laplace expansion · Determinant and Matrix (mathematics) · 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.

Invertible matrix and Laplace expansion · Invertible matrix and Matrix (mathematics) · See more »

Leibniz formula for determinants

In algebra, the Leibniz formula, named in honor of Gottfried Leibniz, expresses the determinant of a square matrix in terms of permutations of the matrix elements.

Laplace expansion and Leibniz formula for determinants · Leibniz formula for determinants and Matrix (mathematics) · See more »

LU decomposition

In numerical analysis and linear algebra, LU decomposition (where "LU" stands for "lower–upper", and also called LU factorization) factors a matrix as the product of a lower triangular matrix and an upper triangular matrix.

LU decomposition and Laplace expansion · LU decomposition and Matrix (mathematics) · See more »

Minor (linear algebra)

In linear algebra, a minor of a matrix A is the determinant of some smaller square matrix, cut down from A by removing one or more of its rows or columns.

Laplace expansion and Minor (linear algebra) · Matrix (mathematics) and Minor (linear algebra) · 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.

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Triangular matrix

In the mathematical discipline of linear algebra, a triangular matrix is a special kind of square matrix.

Laplace expansion and Triangular matrix · Matrix (mathematics) and Triangular matrix · See more »

The list above answers the following questions

What Laplace expansion and Matrix (mathematics) have in common
What are the similarities between Laplace expansion and Matrix (mathematics)

Laplace expansion and Matrix (mathematics) Comparison

Laplace expansion has 16 relations, while Matrix (mathematics) has 352. As they have in common 8, the Jaccard index is 2.17% = 8 / (16 + 352).

References

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

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