Gauss-Jordan Elimination can be used to solve a linear system of equations. A linear system of equations is a set of two or more linear equations with the same variables. An example of a linear system of equations is: {eq}2x+3y=14 {/eq} {eq}3x-7y=-25 {/eq} A solution to ...
Example 4.3.4 Find the inverse of A=[−1−242−523−4−6] by Gauss–Jordan elimination. The inverse of this matrix has been found in Section 4.2. Solution. (i) Apply the Gauss elimination to the augmented matrix A˜=[AI]. Then we have [AI]=[−1−241002−520103−4...
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...
D. Petkovic´, "Gauss-Jordan elimina- tion method for computing outer inverses," Applied Mathemat- ics and Computation, vol. 219, no. 9, pp. 4667-4679, 2013.Stanimirovic´ P S and Petkovic´ M D 2013 Gauss-Jordan elimination method for computing outer inverses. Appl. Math. Comput...
*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
(a) Solve the following system by transforming the augmented matrix to reduced echelon form (Gauss-Jordan elimination). Indicate the elementary row operations you performed. x1+x2−x5x2+2x3+x4+3x5x1−x3+x4+x5=1=1=0x1+x2−x5=1x2+2x3+x4+3x5=1x1−x3+x4+x5=0 (b) Determine ...
Gauss-Jordan elimination 英 [gaʊs ˈdʒɔ:dn ɪˌlɪmɪˈneɪʃn] 美 [gaʊs ˈdʒɔrdn ɪˌlɪmɪˈneɪʃn]网络 消去法; 约当消去法; 高斯...
Gauss-Jordan eliminationpartitioned matrixcomputation complexityMOORE-PENROSE INVERSEREPRESENTATIONSIn this paper, two formulas, which were studied by Wang and Liu (2015 WangHX, LiuXJ. Characterizations of the core inverse and the core partial ordering. Linear Multilinear Algebra. 2015;63:1829–1836. ...
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...