高斯消元法英文解释翻译、高斯消元法的近义词、反义词、例句
英语翻译：
【化】 Gaussian elimination
分词翻译：
高斯的英语翻译：
gauss
【计】 Gaussian
【医】 gauss
消元法的英语翻译：
【计】 elimination of unknowns
网络扩展解释
高斯消元法
高斯消元法是一种线性代数解法，用于解决线性方程组。它是以德国数学家卡尔·弗里德里希·高斯命名的。
拼音
gāo sī xiāo yuán fǎ
英文解释翻译
Gauss-Jordan elimination, also known as row reduction, is an algorithm in linear algebra used to solve linear equations by bringing a matrix to reduced row-echelon form and eliminating variables.
英文读音
[gows-jawr-dn ih-luh-muh-ney-shuhn]
英文用法
Gauss-Jordan elimination is a commonly used tool in linear algebra to solve systems of linear equations. It is particularly useful for larger systems of equations, where manual calculations become cumbersome.
英文例句
An example of using Gauss-Jordan elimination to solve a system of linear equations:
2x + 3y - z = 7
x - y + 2z = -1
3x + 2y - 4z = 1
Using elimination, we can reduce the coefficients to a diagonal matrix in row-echelon form:
1 -1 2 -1
0 5/2 -9/2 5
0 0 35/9 -1/3
From here, we can back-substitute to solve for the variables.
(x, y, z) = (3/2, -1/3, 1/9)
英文近义词
Row-reduction method, Gaussian elimination, matrix reduction, matrix elimination
英文反义词
Matrix inversion
英文单词常用度等
Gauss-Jordan elimination is a commonly used concept in linear algebra and mathematics. It may not be as well-known outside of these fields, but is an important tool for solving complex systems of equations.