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The matrix is established by using random numbers. Click the button above to perform the operation.

In mathematics, matrix is a set of complex or real numbers arranged according to a rectangular array. It comes from the square matrix composed of the coefficients and constants of the equation system. This concept was first proposed by the 19th century British mathematician Kelly.

Matrix is a common tool in advanced algebra, and it is also commonly used in applied mathematics such as statistical analysis. In physics, matrices have applications in circuits, mechanics, optics, and quantum physics; in computer science, matrices are also used in 3D animation.

Matrix operation is an important issue in the field of numerical analysis. Decomposing the matrix into a combination of simple matrices can simplify the operation of the matrix in theory and practical applications. For some widely used and special forms of matrices, such as sparse matrices and quasi-diagonal matrices, there are specific fast calculation algorithms.

For the development and application of matrix-related theories, please refer to Matrix Theory. In astrophysics, quantum mechanics and other fields, infinite-dimensional matrices also appear, which is a generalization of matrices.

The main branch of numerical analysis is devoted to the development of effective algorithms for matrix calculation. This is a subject that has been going on for centuries and is an expanding field of research. The matrix factorization method simplifies theoretical and practical calculations. Algorithms customized for specific matrix structures (such as sparse and near-angle matrices) speed up calculations in finite element methods and other calculations. Infinite matrices occur in planetary theory and atomic theory. A simple example of an infinite matrix is a matrix of derivative operators representing the Taylor series of a function.

Use random numbers to build a matrix. Click the button above to perform the calculation.

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