four-column matrix
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Column 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… … Wikipedia
Matrix multiplication — In mathematics, matrix multiplication is a binary operation that takes a pair of matrices, and produces another matrix. If A is an n by m matrix and B is an m by p matrix, the result AB of their multiplication is an n by p matrix defined only if… … Wikipedia
Four-square cipher — The Four square cipher is a manual symmetric encryption technique. It was invented by famous French cryptographer Felix Delastelle.The technique encrypts pairs of letters ( digraphs ), and thus falls into a category of ciphers known as… … Wikipedia
Matrix representation of conic sections — In mathematics, the matrix representation of conic sections is one way of studying a conic section, its axis, vertices, foci, tangents, and the relative position of a given point. We can also study conic sections whose axes aren t parallel to our … Wikipedia
Stochastic matrix — For a matrix whose elements are stochastic, see Random matrix In mathematics, a stochastic matrix (also termed probability matrix, transition matrix, substitution matrix, or Markov matrix) is a matrix used to describe the transitions of a Markov… … Wikipedia
Rotation matrix — In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example the matrix rotates points in the xy Cartesian plane counterclockwise through an angle θ about the origin of the Cartesian… … Wikipedia
Kernel (matrix) — In linear algebra, the kernel or null space (also nullspace) of a matrix A is the set of all vectors x for which Ax = 0. The kernel of a matrix with n columns is a linear subspace of n dimensional Euclidean space.[1] The dimension… … Wikipedia
Incidence matrix — In mathematics, an incidence matrix is a matrix that shows the relationship between two classes of objects. If the first class is X and the second is Y, the matrix has one row for each element of X and one column for each element of Y. The entry… … Wikipedia
Sparse matrix — A sparse matrix obtained when solving a finite element problem in two dimensions. The non zero elements are shown in black. In the subfield of numerical analysis, a sparse matrix is a matrix populated primarily with zeros (Stoer Bulirsch 2002,… … Wikipedia
Row and column spaces — The row space of an m by n matrix with real entries is the subspace of R n generated by the row vectors of the matrix. Its dimension is equal to the rank of the matrix and is at most min( m , n ).The column space of an m by n matrix with real… … Wikipedia
In-place matrix transposition — In place matrix transposition, also called in situ matrix transposition, is the problem of transposing an N imes M matrix in place in computer memory: ideally with O(1) (bounded) additional storage, or at most with additional storage much less… … Wikipedia
