What does matrix mean?

The necessary and sufficient condition for the same solution of Ax=0 and Bx=0 is that R (a) = R (b) = R (a; B) (A, B are placed above each other) can be transformed into an equation. Understood, r (a; B)=r(A) means that the equation with coefficient matrix is different from that with (a; B) The number of constraint conditions of the equation with coefficient matrix is consistent, which shows that AX=0 and BX=0 are equivalent.

Matrix is a common tool in applied mathematics such as advanced algebra and statistical analysis. In physics, matrices have applications in circuit science, mechanics, optics and quantum physics. In computer science, three-dimensional animation also needs matrix. Matrix 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. For some widely used and special matrices, such as sparse matrix and quasi-diagonal matrix, there are concrete fast operation algorithms.

For the development and application of matrix related theory, please refer to matrix theory. Infinite-dimensional matrices will also appear in astrophysics, quantum mechanics and other fields, which is the generalization of matrices.