Gauss–Jordan elimination is a procedure for converting a matrix to reduced row echelon form using elementary row operations. It is a refinement of Gaussian elimination. The reduced row echelon form of a matrix is unique, but the steps of the procedure are not. Two linear systems are equivalent...
这里先给出一些铺垫:既然求逆,前提肯定是方阵A是可逆的,对矩阵A进行几种初等变换可以得到上三角矩阵U,假设分别经过了3种初等变换E,F,G最后得到U,那么A=GFEU,同时A总可以分解为一个下三角矩阵与一个上三角矩阵相乘,即A=LU,其中L为下三角矩阵,因此L=GFE。 当将A和E放在一起组成一个新的矩阵时,将A变化为...
In this chapter, we shall describe the Gauss鈥揓ordan elimination and show how the matrices associated with the various stages of the elimination process are utilized to expressin a factored form which is called theof(PFI). If at each stage in the Gaussian elimination not only the nonzero ...
最后将最后一行上面所有行的倒数第二列消去 intgauss_jordan(intn){//a为增广矩阵intr,w=0;for(inti=0;i<n&&w<n;w++,i++){//进行到第i列,第w行intr=w;for(intj=w+1;j<n;j++)if(fabs(a[j][i])>fabs(a[r][i]))r=j;//找到当前列绝对值最大的行if(fabs(a[r][i])<eps){w--;c...
Gauss-Jordan elimination 英 [gaʊs ˈdʒɔ:dn ɪˌlɪmɪˈneɪʃn] 美 [gaʊs ˈdʒɔrdn ɪˌlɪmɪˈneɪʃn]网络 消去法; 约当消去法; 高斯...
Solve the following system of linear equations by transforming its augmented matrix to reduced echelon form (Gauss-Jordan elimination). Find the vector form for the general solution. x1−x3−3x53x1+x2−x3+x4−9x5x1−x3+x4−2x5=1=3=1.x1−x3−3x5=13x1+x2−x3+x4−9x5...
However, I am getting Wrong Answer. I think there is a bug in my implementation of Gauss Jordan Elimination (this is the first time I am coding that). Can somebody help me? Here is my code. typedeflongdoubledb;typedefvector<db>vd;typedefvector<vd>vvd;#defineEPS1e-9dbGaussJordan(vvd&A...
Jordan n. 约旦,约旦河,尿壶 jordan 低速磨浆机 Gauss 高斯(①姓氏 ②Karl Friedrich gauss 高斯(①姓氏 ②Karl Friedrich elimination n.[C,U] 1.排除,消除 2.(比赛中)淘汰 3.消灭,干掉(尤指敌人或对手) zero elimination 【电】 零消除 elimination addition 【化】 消除-加成 non elimination...
7.8 Inverse of a Matrix and Gauss-Jordan Elimination-Part 1是7.8 Inverse of a Matrix and Gauss-Jordan Elimination的第1集视频,该合集共计4集,视频收藏或关注UP主,及时了解更多相关视频内容。
Get an overview of the Gauss-Jordan method and elimination with our bite-sized video lesson! Master this concept with examples, then test your skill with a quiz.