Gloria, a British mathematician, is recognized as the founder of matrix theory, because Gloria was the first to put forward matrix as an independent mathematical concept and first published a series of articles on this subject. Gloria combined with the study of invariants under linear transformation, first introduced matrix to simplify notation.
Use:
An important use of matrix is to solve linear equations. The coefficients of unknown quantities in linear equations can be arranged into a matrix, and added with constant terms, which is called an augmented matrix. Another important use is to express linear transformation, that is, the generalization of linear functions such as f(x) 4x.
After setting the basis, a certain vector V can be expressed as a matrix of m× 1, and the linear transformation F can be expressed as a matrix A with the number of rows m, so that the vector f(v) obtained after transformation can be expressed as Av. The eigenvalues and eigenvectors of the matrix can reveal the deep features of linear transformation.
Symbol:
The following is a 4 × 3 matrix: the I-th row and the J-th column of matrix A, that is, I and J bits, are usually recorded as A=7. In addition, A = (aij), which means that a [I, j] = aiji is common in all I and J in mathematical works.