rank of a matrix
51Plucker matrix — Plucker matrices are a representation of a line used in relation to 3D homogeneous coordinates. Specifically, a Plucker matrix is a 4 times;4 skew symmetric homogeneous matrix, defined as mathbf{P} = AB^T BA^T, where A and B are two homogeneous… …
52Page Rank — Der PageRank Algorithmus ist ein Verfahren, eine Menge verlinkter Dokumente, wie beispielsweise das World Wide Web, anhand ihrer Struktur zu bewerten bzw. zu gewichten. Dabei wird jedem Element ein Gewicht, der PageRank, aufgrund seiner… …
53Singular value decomposition — Visualization of the SVD of a 2 dimensional, real shearing matrix M. First, we see the unit disc in blue together with the two canonical unit vectors. We then see the action of M, which distorts the disk to an ellipse. The SVD decomposes M into… …
54Poker probability (Omaha) — In poker, the probability of many events can be determined by direct calculation. This article discusses how to compute the probabilities for many commonly occurring events in the game of Omaha hold em and provides some probabilities and oddsref… …
55Column space — The column vectors of a matrix. In linear algebra, the column space of a matrix (sometimes called the range of a matrix) is the set of all possible linear combinations of its column vectors. The column space of an m × n matrix is a… …
56Outer product — For outer product in geometric algebra, see exterior product. In linear algebra, the outer product typically refers to the tensor product of two vectors. The result of applying the outer product to a pair of vectors is a matrix. The name… …
57Communication complexity — The notion of communication complexity was introduced by Yao in 1979,[1] who investigated the following problem involving two separated parties (Alice and Bob). Alice receives an n bit string x[clarification needed] and Bob another n bit string… …
58Theorems and definitions in linear algebra — This article collects the main theorems and definitions in linear algebra. Vector spaces A vector space( or linear space) V over a number field² F consists of a set on which two operations (called addition and scalar multiplication, respectively) …
59Tensor (intrinsic definition) — For an introduction to the nature and significance of tensors in a broad context, see Tensor. In mathematics, the modern component free approach to the theory of a tensor views a tensor as an abstract object, expressing some definite type of… …
60Row space — In linear algebra, the row space of a matrix is the set of all possible linear combinations of its row vectors. The row space of an m times; n matrix is a subspace of n dimensional Euclidean space. The dimension of the row space is called the… …
