Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Free
Faster access than browser!
 

Determinant and Rank–nullity theorem

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

Difference between Determinant and Rank–nullity theorem

Determinant vs. Rank–nullity theorem

In linear algebra, the determinant is a value that can be computed from the elements of a square matrix. In mathematics, the rank–nullity theorem of linear algebra, in its simplest form, states that the rank and the nullity of a matrix add up to the number of columns of the matrix.

Similarities between Determinant and Rank–nullity theorem

Determinant and Rank–nullity theorem have 8 things in common (in Unionpedia): Basis (linear algebra), Field (mathematics), Identity matrix, Linear algebra, Linear independence, Linear map, Rank (linear algebra), Vector space.

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 Determinant · Basis (linear algebra) and Rank–nullity theorem · 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 Rank–nullity theorem · 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 Rank–nullity theorem · See more »

Linear algebra

Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.

Determinant and Linear algebra · Linear algebra and Rank–nullity theorem · See more »

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.

Determinant and Linear independence · Linear independence and Rank–nullity theorem · 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 Rank–nullity theorem · See more »

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.

Determinant and Rank (linear algebra) · Rank (linear algebra) and Rank–nullity theorem · 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 · Rank–nullity theorem and Vector space · See more »

The list above answers the following questions

Determinant and Rank–nullity theorem Comparison

Determinant has 190 relations, while Rank–nullity theorem has 21. As they have in common 8, the Jaccard index is 3.79% = 8 / (190 + 21).

References

This article shows the relationship between Determinant and Rank–nullity theorem. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »