Array programming and Linear algebra

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Difference between Array programming and Linear algebra

Array programming vs. Linear algebra

In computer science, array programming refers to solutions that allow the application of operations to an entire set of values at once. Linear algebra is the branch of mathematics concerning linear equations such as: linear maps such as: and their representations in vector spaces and through matrices.

Associative property

In mathematics, the associative property is a property of some binary operations that means that rearranging the parentheses in an expression will not change the result.

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Commutative property

In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.

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Computational science

Computational science, also known as scientific computing, technical computing or scientific computation (SC), is a division of science that uses advanced computing capabilities to understand and solve complex physical problems.

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Determinant

In mathematics, the determinant is a scalar-valued function of the entries of a square matrix.

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Euclidean vector

In mathematics, physics, and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector or spatial vector) is a geometric object that has magnitude (or length) and direction.

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Graphics processing unit

A graphics processing unit (GPU) is a specialized electronic circuit initially designed for digital image processing and to accelerate computer graphics, being present either as a discrete video card or embedded on motherboards, mobile phones, personal computers, workstations, and game consoles.

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Invertible matrix

In linear algebra, an -by- square matrix is called invertible (also nonsingular, nondegenerate or rarely regular) if there exists an -by- square matrix such that\mathbf.

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LAPACK

LAPACK ("Linear Algebra Package") is a standard software library for numerical linear algebra.

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Matrix (mathematics)

In mathematics, a matrix (matrices) is a rectangular array or table of numbers, symbols, or expressions, with elements or entries arranged in rows and columns, which is used to represent a mathematical object or property of such an object.

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Matrix multiplication

In mathematics, particularly in linear algebra, matrix multiplication is a binary operation that produces a matrix from two matrices.

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Multi-core processor

A multi-core processor is a microprocessor on a single integrated circuit with two or more separate processing units, called cores (for example, dual-core or quad-core), each of which reads and executes program instructions.

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System of linear equations

In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same variables.

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Transpose

In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of the matrix by producing another matrix, often denoted by (among other notations).

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