Mathematically, a matrix refers to a group of complex numbers or real numbers arranged in a rectangular array. It was first put forward by the British mathematician Kelly in the19th century, and consists of coefficients and constants in the equation.
It is a common tool in advanced algebra, and its operation is an important problem in the field of numerical analysis. Decomposition of a matrix into a combination of simple matrices can simplify the operation of the matrix in theory and practical application. Advantages of learning matrix:
The first purpose is to solve linear equations. For example, a two-dimensional matrix can be understood as a set of points in a plane rectangular coordinate system. By calculating the distance between points, clustering, classification or prediction can be completed. Similar operations can be extended to multi-dimensional situations.
The second application is equation reduction, that is, using the quadratic form of matrix to map linearly inseparable data sets to high dimensions and transform them into linearly separable situations, which is one of the basic principles of support vector machines.
The third application is conversion. Matrix can be reduced in dimension by eigenvalues and eigenvectors, which simplifies similar graphs.