Last Updated:2025/12/04
Sentence

線形方程式の連立を解く際、ランクと零空間の次元の和が線形空間全体の次元に等しいという定理を理解していると、解が存在するかどうかや自由度がいくつあるかを判断しやすくなります。

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When solving systems of linear equations, understanding the rank-nullity theorem helps determine whether solutions exist and how many degrees of freedom they have.

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When solving systems of linear equations, understanding the rank-nullity theorem helps determine whether solutions exist and how many degrees of freedom they have.

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Related words

rank-nullity theorem

Noun
uncountable
Japanese Meaning
ある線形変換または対応する行列に関する定理で、変換の階数(rank)と零空間の次元(nullity)の和が、その変換の定義域である全ベクトル空間の次元に一致することを示す定理。
What is this buttons?

線形方程式の連立を解く際、ランクと零空間の次元の和が線形空間全体の次元に等しいという定理を理解していると、解が存在するかどうかや自由度がいくつあるかを判断しやすくなります。

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