Last Updated :2025/11/22

row-equivalence

Noun
Japanese Meaning
(線形代数)同じサイズの2つの行列において、一方の行列の各行がもう一方の行列の行の線形結合として表され、かつ逆も成立する関係。この性質は同値関係として扱われる。
What is this buttons?

教授は、行同値により二つの行列が同じ行空間を持ち、それゆえ対応する線形方程式系の解が同じになることを説明した。

Quizzes for review

(linear algebra) A relation between two matrices of the same size, such that every row of one matrix is a linear combination of the rows of the other matrix, and vice versa. It is an equivalence relation.

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See correct answer

row-equivalence

The professor explained that row-equivalence ensures two matrices have the same row space and therefore the same solutions to their corresponding linear systems.

See correct answer

The professor explained that row-equivalence ensures two matrices have the same row space and therefore the same solutions to their corresponding linear systems.

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