Matrix transpose operation assumes that a is an m×n matrix (that is, m rows and n columns), and the element in row I and column J is a(i, j), that is, A=a(i, j). The transposition of a is defined as an n×m matrix b, which satisfies B=a(j, I), that is, B (i, j) = A (some secretaries are AT=B, where t is the superscript of a). Intuitively, all elements of a revolve around an element starting from the 1 row and the 1 column.

Matrix English: Matrix, which means the uterus, the mother of the control center and the place where life was born. Mathematically, a matrix refers to a two-dimensional data table arranged vertically and horizontally, which originated from a square matrix composed of coefficients and constants of an equation. This concept was first put forward by British mathematician Kelly in19th century. The concept of matrix also has many applications in production practice, such as the matrix diagram method for protecting personal accounts and the matrix card system (proposed by Shenzhen network domain) and so on. The original meaning of "matrix" is also commonly used. For example, the analog device responsible for the switching control of the front-end video source and control line in the monitoring system is also called matrix.