matrix algebra


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Related to matrix algebra: matrix multiplication
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.matrix algebra - the part of algebra that deals with the theory of matrices
diagonalisation, diagonalization - changing a square matrix to diagonal form (with all non-zero elements on the principal diagonal); "the diagonalization of a normal matrix by a unitary transformation"
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
algebra - the mathematics of generalized arithmetical operations
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References in periodicals archive ?
Readers should have a prior undergraduate course in linear algebra, a basic understanding of matrix algebra, and some proficiency with mathematical proofs.
Matrix Algebra. Cambridge: Cambridge University Press, 2005.
Every (m, n)-Jordan centralizer of a block upper triangular matrix algebra [B.sub.k](C)(k [greater than or equal to] 2) is a centralizer, where C is the complex field.
When more than two service departments are involved, accounting textbooks recommend the use of simultaneous equations, matrix algebra, and a computer to solve the equations.
(In matrix algebra, a matrix, or numerical table, is transposed by converting its first row into its first column, its second row into its second column, and so forth-i.e., it is flipped over so that its old rows become its new columns.
A person who has not taken advanced statistics and matrix algebra will find this chapter difficult to comprehend.
M [subset or equal to] B(H) for some Hilbert space H) and n [member of] N, the matrix algebra [M.sub.n](M) is naturally isomorphic to B([H.sup.n]) (see [5, II.6.6]).
Montgomery and Runger offer this applied statistics text for undergraduates, designed to be accessible with one or two semesters of calculus and some matrix algebra. The first chapter introduces the role of statistics in engineering.
By using the elementary matrix algebra, the solution can be found as follow:
In the field of matrix algebra, quaternion matrix equations have received much attention.
Roger Hart reconstructs f[a.bar]ngcheng in terms of modern linear or matrix algebra and shows that it involves methods associated with Leibniz (1646-1716), Seki Takakazu [TEXT NOT REPRODUCIBLE IN ASCII] (1642-1708), and Gauss (1777-1855), but long predating those men.