elementary matrix

elementary matrix

English-Finnish mathematical dictionary. 2011.

Игры ⚽ Поможем написать реферат

Look at other dictionaries:

  • Elementary matrix — In mathematics, an elementary matrix is a simple matrix which differs from the identity matrix in a minimal way. The elementary matrices generate the general linear group of invertible matrices, and left (respectively, right) multiplication by an …   Wikipedia

  • Elementary — Elementary: *Education ** Elementary education, consists of the first years of formal, structured education that occur during childhood. **Elementary school, a school providing elementary or primary education. Historically, a school in the UK… …   Wikipedia

  • Matrix (mathematics) — Specific elements of a matrix are often denoted by a variable with two subscripts. For instance, a2,1 represents the element at the second row and first column of a matrix A. In mathematics, a matrix (plural matrices, or less commonly matrixes)… …   Wikipedia

  • ELEMENTARY — In computational complexity theory, the complexity class ELEMENTARY is the union of the classes in the exponential hierarchy.: egin{matrix} m{ELEMENTARY} = m{EXP}cup m{2EXP}cup m{3EXP}cupcdots = m{DTIME}(2^{n})cup m{DTIME}(2^{2^{n)cup… …   Wikipedia

  • Matrix differential equation — A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and of its derivatives of various orders. A matrix differential equation is one containing more… …   Wikipedia

  • Matrix representation — This article is about the layout of matrices in the memory of computers. For the representation of groups and algebras by matrices in linear algebra, see representation theory. Matrix representation is a method used by a computer language to… …   Wikipedia

  • Matrix group — In mathematics, a matrix group is a group G consisting of invertible matrices over some field K, usually fixed in advance, with operations of matrix multiplication and inversion. More generally, one can consider n × n matrices over a commutative… …   Wikipedia

  • Matrix equivalence — In linear algebra, two rectangular m by n matrices A and B are called equivalent if for some invertible n by n matrix P and some invertible m by m matrix Q. Equivalent matrices represent the same linear transformation V → W under two… …   Wikipedia

  • Elementary divisors — In algebra, the elementary divisors of a module over a principal ideal domain occur in one form of the structure theorem for finitely generated modules over a principal ideal domain.If R is a PID and M a finitely generated R module, then M is… …   Wikipedia

  • Elementary group theory — In mathematics, a group is defined as a set G and a binary operation on G , called product and denoted by infix * . Product obeys the following rules (also called axioms). Let a , b , and c be arbitrary elements of G . Then: *A1, Closure. a * b… …   Wikipedia

  • Elementary reflector — An elementary reflector is also referred to as a triangular factor, and is a triangular matrix. Elementary reflectors are used in the Householder transformation …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”