linearly dependent

not-comparable of a set of vectors or ring elements

(algebra, of a set of vectors or ring elements) Having a nontrivial linear combination which is zero.

Japanese Meaning

線型従属：代数学において、ベクトルや環の元の集合について、全ての係数がゼロでない線形結合をとった結果、和がゼロとなる状態を指す。

The columns of the transformation matrix are linearly dependent, so the system has infinitely many solutions.

変換行列の列は線形従属であるため、その方程式系は無限に多くの解を持ちます。

Sense（1）

(algebra, of a set of vectors or ring elements) Having a nontrivial linear combination which is zero.