*Linear equation solution by Gauss-Jordan elimination, equation example as follow, * A * (X0 || X1 || X2 || Y) = (b0 || b1 || b2 || 1): * * ( a00 a01 a02 a03 ) ( (x00) (x01) (x02) (y00 y01 y02 y03) ) * ( a10 a11 a12 a13 ) ( (x10) (x11) (x12) (y...
Gauss Jordan elimination with pivoting As in Gaussian elimination, in order to improve the numerical stability of the algorithm, we usually perform partial pivoting in step 6, that is, we always choose the row interchange that moves the largest element (in absolute value) to the pivotal position...
Gauss-Jordan Elimination
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...
高斯消元法,是线性代数中的一个算法,可用来求解线性方程组,并可以求出矩阵的秩,以及求出可逆方阵的逆矩阵。 在讲算法前先介绍些概念 矩阵的初等变换 矩阵的初等变换又分为矩阵的初等行变换和矩阵的初等列变换。矩阵的初等行变换和初等列变换统称为初等变换。另外:分块矩阵也可以定义初等变换。
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...
P27.8 Inverse of a Matrix and Gauss-Jordan Elimination-Part 2 08:26 P37.8 Inverse of a Matrix and Gauss-Jordan Elimination-Part 3 11:36 P47.8 Inverse of a Matrix and Gauss-Jordan Elimination-Part 4 11:16 追星安利赢奖金活动来啦!
Gauss-Jordan Matrix Elimination -This method can be used to solve systems of linear equations involving two or more variables. However, the system must be changed to an augmented matrix. -This method can also be used to find the inverse of a 2x2 matrix or larger matrices, 3x3, 4x4 etc....
Gauss-Jordan elimination 英 [gaʊs ˈdʒɔ:dn ɪˌlɪmɪˈneɪʃn] 美 [gaʊs ˈdʒɔrdn ɪˌlɪmɪˈneɪʃn]网络 消去法; 约当消去法; 高斯...
A step-by-step explanation of finding the inverse of a matrix using Gauss-Jordan Elimination. Up to 5x5 matrix.