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線形従属 (せんけいじゅうぞく) Japanese meaning | Kotomora

線せん形けい従じゅう属ぞく

せ

ん

け

い

じゅ

う

ぞ

く

Meanings

1

na-adjective

linearly dependent

mathematics

Mathematical term describing a set of vectors where at least one can be expressed as a linear combination of the others.

これらのベクトルは線せん形けい従じゅう属ぞくである。
These vectors are linearly dependent.
線せん形けい従じゅう属ぞくなベクトルの

組くみ

は

、

行ぎょう

列れつ

式しき

が

ゼロ

に

なる

。

A set of linearly dependent vectors results in a determinant of zero.

Written forms

線せん形けい従じゅう属ぞく
Standard kanji spelling for 'linear dependence' in mathematics.
線せん型けい従じゅう属ぞく
Variant spelling using 型 instead of 形; both are used in mathematical contexts.

Kanji

線line, track
形shape, form, style
従accompany, obey, submit to
属belong, genus, subordinate official
型mould, type, model

Similar words

線せん形けい独どく立りつ
Antonym: 'linearly independent'. A set of vectors is linearly independent if none can be written as a linear combination of the others.

Etymology

Compound of 線形 (linear) and 従属 (dependence). The exact historical derivation is uncertain; the term is a direct translation of the English mathematical concept.