Last Updated
：2025/11/21
linearly independent
Adjective
not-comparable
Japanese Meaning
線形代数における "linearly independent" は、あるベクトルや環の元の集合において、全ての非自明な（すべての係数が0でない）線形結合が0にならない、つまり0となるためには各係数が全て0でなければならないという性質を指します。
Quizzes for review
(linear algebra) (Of a set of vectors or ring elements) whose nontrivial linear combinations are nonzero
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linearly independent
To prove the theorem, she first showed that the eigenvectors corresponding to distinct eigenvalues are linearly independent.
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To prove the theorem, she first showed that the eigenvectors corresponding to distinct eigenvalues are linearly independent.
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