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单词 Gaussian Elimination
释义

Gaussian Elimination

A method for solving Matrix Equations of the form

(1)

Starting with the system of equations
(2)

compose the augmented Matrix ``equation''
(3)

Then, perform Matrix operations to put the augmented Matrix into the form
(4)

Solve the equation of the th row for , then substitute back into the equation of the st row obtain a solutionfor , etc., according to the formula
(5)

See also Gauss-Jordan Elimination, LU Decomposition, Matrix Equation, Square Root Method
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更新时间:2025/4/28 19:45:52