01. Elimination(success, failure)
02. Back - Substitution
03. Elimination Matrices
04. Inverse Matrix(single exsample)
01.Elimination
Equation System
01.png
Gaussian Elimination
02.png
02.Back - Substitution
03.png
Solve the equations from bottom
03.Elimination Matrices
Matrix Multiply Column Vector
04.png
Row Vector Multiply Matrix
05.png
Elimination Matrix
06.png
Solvabolity
07.png
08.png
To ensure the equation system to be solvable, the pivot elements are not accepted as 0. If there is non zero element below the zero pivot, the elimination can continue by row exchange, otherwise, the elimination has to be terminated and the equation system can not be solved.
04.Inverse(single example)
09.png
