Fill in the blank. Let S be a set of vectors of some n-dimensional vector space V. If there exist scalars a1 through an, such that a1v1 + … + anvn = 0, but not all a's = 0, then S is said to be linearly _______________.

🎲 Try a Random Question  |  Total Questions in Quiz: 100  |  🧠 Study this quiz with Flashcards
This question is part of a full practice quiz:
MA232 Final Exam - Abstract Algebra II — practice the complete quiz, review flashcards, or try a random question.

MCQs on Abstract Algebra.


Fill in the blank. Let S be a set of vectors of some n-dimensional vector space V. If there exist scalars a<sub>1</sub> through a<sub>n</sub>, such that a<sub>1</sub>v<sub>1</sub> + … + a<sub>n</sub>v<sub>n</sub> = 0, but not all a's = 0, then S is said to be linearly _______________.