# submatrix

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**Submatrix**— In mathematics, a submatrix is a matrix formed by selecting certain rows and columns from a bigger matrix. That is, as an array, it is cut down to those entries constrained by row and column. For example: mathbf{A}=egin{bmatrix} a {11} a {12} a… … Wikipedia**submatrix**— /sub may triks, ma triks/, n., pl. submatrices / tri seez /, submatrixes. Math. a set of certain rows and columns of a given matrix. [SUB + MATRIX] * * * … Universalium**submatrix**— /sub may triks, ma triks/, n., pl. submatrices / tri seez /, submatrixes. Math. a set of certain rows and columns of a given matrix. [SUB + MATRIX] * * * subˈmatrix (↑matrix) n(3) • • • Main Entry: ↑sub … Useful english dictionary**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**Nullity theorem**— The nullity theorem is a mathematical theorem about the inverse of a partitioned matrix, which states that the nullity of a block in a matrix equals the nullity of the complementary block in its inverse matrix. Here, the nullity is the dimension… … Wikipedia**Communication 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… … Wikipedia**Dantzig–Wolfe decomposition**— is an algorithm for solving linear programming problems with special structure. It was originally developed by George Dantzig and Phil Wolfe and initially published in 1960[1]. Many texts on linear programming have sections dedicated to… … Wikipedia**Denavit–Hartenberg parameters**— A commonly used convention for selecting frames of reference in robotics applications is the Denavit and Hartenberg (D–H) convention which was introduced by Jaques Denavit and Richard S. Hartenberg. In this convention, each homogeneous… … Wikipedia**Array slicing**— In computer programming, array slicing is an operation that extracts certain elements from an array and packages them as another array, possibly with different number of indices (or dimensions) and different index ranges. Two common examples are… … Wikipedia**LU decomposition**— In linear algebra, LU decomposition (also called LU factorization) is a matrix decomposition which writes a matrix as the product of a lower triangular matrix and an upper triangular matrix. The product sometimes includes a permutation matrix as… … Wikipedia