Lecture 02

01. Elimination(success, failure)

02. Back - Substitution

03. Elimination Matrices

04. Inverse Matrix(single exsample)

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01.Elimination

Equation System

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Gaussian Elimination

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02.Back - Substitution

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Solve the equations from bottom

03.Elimination Matrices

Matrix Multiply Column Vector

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Row Vector Multiply Matrix

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Elimination Matrix

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Solvabolity

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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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