Solution of finite element transformation matrix: This matrix equation can be obtained by solving the inverse matrix, and thus the U value can be obtained. That is, the inverse matrix of E/30*Ku=F, u = 30/e * inv (k) f% inv (k)-k can be calculated by elementary transformation.

ABC=

┌ 1 1 1┐┌ 1 0 0┐

│3 1 1│0 1 0 0│C =

└2 2 1┘└5 10 1┘

┌ 1( 1)+ 1(0)+ 1(5) 1(0)+ 1( 1)+ 1( 10) 1(0)+ 1(0)+ 1( 1)┐

│8 1 1 1││0 2 0│=

└7 12 1┘└0 0 1┘

┌ 12 22 1┐

└ 14 24 1┘

matrix

It is a common tool in applied mathematics disciplines 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.