When waiting in line, call the line horizontally and the column vertically. When the number of rows and columns are equal, they are arranged in a square. Such a party team is called a party team. Square matrix can be divided into solid square matrix and hollow square matrix. In mathematics, a matrix is a group of complex numbers or real numbers arranged in a rectangular array, which originated from a square matrix composed of coefficients and constants of an equation.
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.
Introduction to mathematics:
Mathematics is a universal means for human beings to strictly describe the abstract structure and mode of things, and can be applied to any problem in the real world. All mathematical objects are artificially defined in essence. In this sense, mathematics belongs to formal science, not natural science. Different mathematicians and philosophers have a series of views on the exact scope and definition of mathematics.
Example:
Mingming uses Weiqi to form a three-layer hollow square. If there are 15 Go players on each side of the outermost layer, how many are there in the innermost layer of this square? How many pieces are there in this three-layer hollow square?
For each inner layer, the number of each side of the square matrix is reduced by two. If you know the outermost layer and put 15 blocks on each side, you can find out the number of each side of the innermost layer, and then you can find out the total number placed on the innermost layer in a week. According to the number of pieces placed on each side of the outermost layer, subtract the number of layers of the hollow phalanx, multiply it by the number of layers, and then multiply it by 4 to calculate how many pieces there are in the hollow phalanx.
The number of pieces in the innermost circle is (15-2-2- 1)×4=40 (pieces), and the number of pieces shared by this hollow square is (15-3)×3×4= 144.