Similarities between Jordan normal form and Matrix (mathematics)
Jordan normal form and Matrix (mathematics) have 35 things in common (in Unionpedia): Academic Press, Addison-Wesley, Algebraically closed field, Basis (linear algebra), Block matrix, Cambridge University Press, Cayley–Hamilton theorem, Characteristic polynomial, Complex conjugate, Complex number, Condition number, Diagonalizable matrix, Dimension (vector space), Dover Publications, Eigenvalues and eigenvectors, Field (mathematics), Houghton Mifflin Harcourt, Identity matrix, If and only if, John Wiley & Sons, Linear independence, Linear map, Module (mathematics), Monic polynomial, Normal matrix, Numerical analysis, Prentice Hall, Rank–nullity theorem, Ring (mathematics), Schur decomposition, ..., Spectral theorem, Springer Science+Business Media, Square matrix, Triangular matrix, Vector space. Expand index (5 more) »
Academic Press
Academic Press is an academic book publisher.
Academic Press and Jordan normal form · Academic Press and Matrix (mathematics) ·
Addison-Wesley
Addison-Wesley is a publisher of textbooks and computer literature.
Addison-Wesley and Jordan normal form · Addison-Wesley and Matrix (mathematics) ·
Algebraically closed field
In abstract algebra, an algebraically closed field F contains a root for every non-constant polynomial in F, the ring of polynomials in the variable x with coefficients in F.
Algebraically closed field and Jordan normal form · Algebraically closed field and Matrix (mathematics) ·
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 Jordan normal form · Basis (linear algebra) and Matrix (mathematics) ·
Block matrix
In mathematics, a block matrix or a partitioned matrix is a matrix that is interpreted as having been broken into sections called blocks or submatrices.
Block matrix and Jordan normal form · Block matrix and Matrix (mathematics) ·
Cambridge University Press
Cambridge University Press (CUP) is the publishing business of the University of Cambridge.
Cambridge University Press and Jordan normal form · Cambridge University Press and Matrix (mathematics) ·
Cayley–Hamilton theorem
In linear algebra, the Cayley–Hamilton theorem (named after the mathematicians Arthur Cayley and William Rowan Hamilton) states that every square matrix over a commutative ring (such as the real or complex field) satisfies its own characteristic equation.
Cayley–Hamilton theorem and Jordan normal form · Cayley–Hamilton theorem and Matrix (mathematics) ·
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 Jordan normal form · Characteristic polynomial and Matrix (mathematics) ·
Complex conjugate
In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.
Complex conjugate and Jordan normal form · Complex conjugate and Matrix (mathematics) ·
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 Jordan normal form · Complex number and Matrix (mathematics) ·
Condition number
In the field of numerical analysis, the condition number of a function with respect to an argument measures how much the output value of the function can change for a small change in the input argument.
Condition number and Jordan normal form · Condition number and Matrix (mathematics) ·
Diagonalizable matrix
In linear algebra, a square matrix A is called diagonalizable if it is similar to a diagonal matrix, i.e., if there exists an invertible matrix P such that P−1AP is a diagonal matrix.
Diagonalizable matrix and Jordan normal form · Diagonalizable matrix and Matrix (mathematics) ·
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 Jordan normal form · Dimension (vector space) and Matrix (mathematics) ·
Dover Publications
Dover Publications, also known as Dover Books, is an American book publisher founded in 1941 by Hayward Cirker and his wife, Blanche.
Dover Publications and Jordan normal form · Dover Publications and Matrix (mathematics) ·
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 Jordan normal form · Eigenvalues and eigenvectors and Matrix (mathematics) ·
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.
Field (mathematics) and Jordan normal form · Field (mathematics) and Matrix (mathematics) ·
Houghton Mifflin Harcourt
Houghton Mifflin Harcourt (HMH) is an educational and trade publisher in the United States.
Houghton Mifflin Harcourt and Jordan normal form · Houghton Mifflin Harcourt and Matrix (mathematics) ·
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 Jordan normal form · Identity matrix and Matrix (mathematics) ·
If and only if
In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.
If and only if and Jordan normal form · If and only if and Matrix (mathematics) ·
John Wiley & Sons
John Wiley & Sons, Inc., also referred to as Wiley, is a global publishing company that specializes in academic publishing.
John Wiley & Sons and Jordan normal form · John Wiley & Sons and Matrix (mathematics) ·
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.
Jordan normal form and Linear independence · Linear independence and Matrix (mathematics) ·
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.
Jordan normal form and Linear map · Linear map and Matrix (mathematics) ·
Module (mathematics)
In mathematics, a module is one of the fundamental algebraic structures used in abstract algebra.
Jordan normal form and Module (mathematics) · Matrix (mathematics) and Module (mathematics) ·
Monic polynomial
In algebra, a monic polynomial is a single-variable polynomial (that is, a univariate polynomial) in which the leading coefficient (the nonzero coefficient of highest degree) is equal to 1.
Jordan normal form and Monic polynomial · Matrix (mathematics) and Monic polynomial ·
Normal matrix
In mathematics, a complex square matrix is normal if where is the conjugate transpose of.
Jordan normal form and Normal matrix · Matrix (mathematics) and Normal matrix ·
Numerical analysis
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics).
Jordan normal form and Numerical analysis · Matrix (mathematics) and Numerical analysis ·
Prentice Hall
Prentice Hall is a major educational publisher owned by Pearson plc.
Jordan normal form and Prentice Hall · Matrix (mathematics) and Prentice Hall ·
Rank–nullity theorem
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.
Jordan normal form and Rank–nullity theorem · Matrix (mathematics) and Rank–nullity theorem ·
Ring (mathematics)
In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.
Jordan normal form and Ring (mathematics) · Matrix (mathematics) and Ring (mathematics) ·
Schur decomposition
In the mathematical discipline of linear algebra, the Schur decomposition or Schur triangulation, named after Issai Schur, is a matrix decomposition.
Jordan normal form and Schur decomposition · Matrix (mathematics) and Schur decomposition ·
Spectral theorem
In mathematics, particularly linear algebra and functional analysis, a spectral theorem is a result about when a linear operator or matrix can be diagonalized (that is, represented as a diagonal matrix in some basis).
Jordan normal form and Spectral theorem · Matrix (mathematics) and Spectral theorem ·
Springer Science+Business Media
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
Jordan normal form and Springer Science+Business Media · Matrix (mathematics) and Springer Science+Business Media ·
Square matrix
In mathematics, a square matrix is a matrix with the same number of rows and columns.
Jordan normal form and Square matrix · Matrix (mathematics) and Square matrix ·
Triangular matrix
In the mathematical discipline of linear algebra, a triangular matrix is a special kind of square matrix.
Jordan normal form and Triangular matrix · Matrix (mathematics) 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.
Jordan normal form and Vector space · Matrix (mathematics) and Vector space ·
The list above answers the following questions
- What Jordan normal form and Matrix (mathematics) have in common
- What are the similarities between Jordan normal form and Matrix (mathematics)
Jordan normal form and Matrix (mathematics) Comparison
Jordan normal form has 72 relations, while Matrix (mathematics) has 352. As they have in common 35, the Jaccard index is 8.25% = 35 / (72 + 352).
References
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