01. Elimination(success, failure)
02. Back - Substitution
03. Elimination Matrices
04. Inverse Matrix(single exsample)
01.Elimination
Equation System

Gaussian Elimination

02.Back - Substitution

Solve the equations from bottom
03.Elimination Matrices
Matrix Multiply Column Vector

Row Vector Multiply Matrix

Elimination Matrix

Solvabolity


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)

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