V2EX row-form

Row-form

释义 Definition

(线性代数)行形式;常指矩阵经过初等行变换后的“行阶梯形/行简化形式”(row echelon form 或 reduced row echelon form),用于解线性方程组、判断秩等。(也可泛指“按行的形式/排列”。)

发音 Pronunciation (IPA)

/ro frm/

例句 Examples

The matrix is already in row-form, so solving the system is easy.
这个矩阵已经是行形式(行阶梯形)了,所以解方程组很容易。

After performing Gaussian elimination, we converted the augmented matrix into row-form and identified the pivot columns.
进行高斯消元后,我们把增广矩阵化为行形式,并确定了主元列。

词源 Etymology

row 源自古英语 rāw(一排、一行),form 源自拉丁语 forma(形状、形式)。在数学语境中,row-form 由“按行(row)”与“形式(form)”组合,指通过初等行变换得到的特定矩阵形态,便于计算与推理。

相关词 Related Words

文学/著作中的用例 Literary Works

  • Introduction to Linear Algebra Gilbert Strang(常在消元与阶梯形矩阵部分讨论“row form/row-echelon form”)
  • Linear Algebra and Its Applications David C. Lay(以行形式/行阶梯形作为解线性方程组的核心工具)
  • Elementary Linear Algebra Howard Anton(在矩阵化简与主元概念中出现相关术语)
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