1、15 Linear equations 5.1 Gauss elimination 5.2 Pivoting5.3 LU factorisation 5.4 The determinant and Inverse of a matrix5.5 Banded matrices and Tridiagonal matrices5.6 Other approaches to solving linear systems2In this chapter we deal with basic matrix operations, such as the solution of linear equati
2、ons, calculate the inverse of a matrix, its determinant etc.35.1 Gauss elimination 4例 1 用高斯消元法求解方程组=+=-+=+53213614282321321321xxxxxxxxx=+=-+=+53213614282321321321xxxxxxxxx=+-=-+=+-91012414282321321321xxxxxxxxx70 4=-=-+=+12603114282321321321xxxxxxxxx00 152 2814 321 =-= xxx1113 32 =+= xx26123 -=-=x6matrix operations78910x1 = x2 = x3 = 1.