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matrix of full rank

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  • Rank (linear algebra) — The column rank of a matrix A is the maximum number of linearly independent column vectors of A. The row rank of a matrix A is the maximum number of linearly independent row vectors of A. Equivalently, the column rank of A is the dimension of the …   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

  • Block matrix pseudoinverse — is a formula of pseudoinverse of a partitioned matrix. This is useful for decomposing or approximating many algorithms updating parameters in signal processing, which are based on least squares method. Derivation Consider a column wise… …   Wikipedia

  • Matrix ring — In abstract algebra, a matrix ring is any collection of matrices forming a ring under matrix addition and matrix multiplication. The set of n×n matrices with entries from another ring is a matrix ring, as well as some subsets of infinite matrices …   Wikipedia

  • Probability derivations for making rank-based hands in Omaha hold 'em — See Poker probability (Omaha)#Making hands based on rank type for the probabilities derived from these equations. The probability derivations for starting hands making four of a kind, a full house, three of a kind, two pair, one pair and no pair… …   Wikipedia

  • List of minor characters in the Matrix series — Many of the characters listed here have names reflecting certain aspects of them, such as their status, personality or role. Contents 1 Apoc 2 Captain Ballard 3 Bane/Smith 3.1 Bane …   Wikipedia

  • Black/Matrix (video game series) — is a series of tactical role playing games developed by Flight Plan and published by Interchannel. All titles in the series are Japan exclusive.Each installment in the series combines standard tactical RPG gameplay with a pastiche of Judeo… …   Wikipedia

  • Density matrix — Mixed state redirects here. For the psychiatric condition, see Mixed state (psychiatry). In quantum mechanics, a density matrix is a self adjoint (or Hermitian) positive semidefinite matrix (possibly infinite dimensional) of trace one, that… …   Wikipedia

  • Controllability — is an important property of a control system, and the controllability property plays a crucial role in many control problems, such as stabilization of unstable systems by feedback, or optimal control. Controllability and observability are dual… …   Wikipedia

  • Ordinary least squares — This article is about the statistical properties of unweighted linear regression analysis. For more general regression analysis, see regression analysis. For linear regression on a single variable, see simple linear regression. For the… …   Wikipedia

  • Moore-Penrose pseudoinverse — In mathematics, and in particular linear algebra, the pseudoinverse A^+ of an m imes n matrix A is a generalization of the inverse matrix.cite book | last=Ben Israel | first = Adi | coauthors=Thomas N.E. Greville | title=Generalized Inverses |… …   Wikipedia

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