Mathematics Exam  >  Mathematics Questions  >  If {v1, v2, v3} is a linearly independent set... Start Learning for Free
If {v1, v2, v3} is a linearly independent set of vectors in a vector space over  which one of the following sets is also linearly independent?

  • a)
    {v1 + v2 + v3, 2v1 + v2 + 3v3, 5v1 + 4v2}

  • b)
    {v1 - v2, v2 - v3, v3 - v1}

  • c)
    {v1 + v2 - v3, v2 + v3 - v1 ,v3 + v1 - v2, v1 + v2 + v3)

  • d)
    {v1 + v2, v2 + 2v3, v3 + 3v1}

Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If {v1, v2, v3} is a linearly independent set of vectors in a vector s...
Community Answer
If {v1, v2, v3} is a linearly independent set of vectors in a vector s...
Explore Courses for Mathematics exam
If {v1, v2, v3} is a linearly independent set of vectors in a vector space over which one of the following sets is also linearly independent?a){v1+ v2 + v3, 2v1+ v2 + 3v3, 5v1+ 4v2}b){v1- v2, v2 - v3, v3 - v1}c){v1+ v2 - v3, v2 + v3 - v1,v3 + v1- v2, v1+ v2 + v3)d){v1 + v2, v2 + 2v3, v3 + 3v1}Correct answer is option 'D'. Can you explain this answer?
Question Description
If {v1, v2, v3} is a linearly independent set of vectors in a vector space over which one of the following sets is also linearly independent?a){v1+ v2 + v3, 2v1+ v2 + 3v3, 5v1+ 4v2}b){v1- v2, v2 - v3, v3 - v1}c){v1+ v2 - v3, v2 + v3 - v1,v3 + v1- v2, v1+ v2 + v3)d){v1 + v2, v2 + 2v3, v3 + 3v1}Correct answer is option 'D'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about If {v1, v2, v3} is a linearly independent set of vectors in a vector space over which one of the following sets is also linearly independent?a){v1+ v2 + v3, 2v1+ v2 + 3v3, 5v1+ 4v2}b){v1- v2, v2 - v3, v3 - v1}c){v1+ v2 - v3, v2 + v3 - v1,v3 + v1- v2, v1+ v2 + v3)d){v1 + v2, v2 + 2v3, v3 + 3v1}Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If {v1, v2, v3} is a linearly independent set of vectors in a vector space over which one of the following sets is also linearly independent?a){v1+ v2 + v3, 2v1+ v2 + 3v3, 5v1+ 4v2}b){v1- v2, v2 - v3, v3 - v1}c){v1+ v2 - v3, v2 + v3 - v1,v3 + v1- v2, v1+ v2 + v3)d){v1 + v2, v2 + 2v3, v3 + 3v1}Correct answer is option 'D'. Can you explain this answer?.
Solutions for If {v1, v2, v3} is a linearly independent set of vectors in a vector space over which one of the following sets is also linearly independent?a){v1+ v2 + v3, 2v1+ v2 + 3v3, 5v1+ 4v2}b){v1- v2, v2 - v3, v3 - v1}c){v1+ v2 - v3, v2 + v3 - v1,v3 + v1- v2, v1+ v2 + v3)d){v1 + v2, v2 + 2v3, v3 + 3v1}Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics. Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free.
Here you can find the meaning of If {v1, v2, v3} is a linearly independent set of vectors in a vector space over which one of the following sets is also linearly independent?a){v1+ v2 + v3, 2v1+ v2 + 3v3, 5v1+ 4v2}b){v1- v2, v2 - v3, v3 - v1}c){v1+ v2 - v3, v2 + v3 - v1,v3 + v1- v2, v1+ v2 + v3)d){v1 + v2, v2 + 2v3, v3 + 3v1}Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If {v1, v2, v3} is a linearly independent set of vectors in a vector space over which one of the following sets is also linearly independent?a){v1+ v2 + v3, 2v1+ v2 + 3v3, 5v1+ 4v2}b){v1- v2, v2 - v3, v3 - v1}c){v1+ v2 - v3, v2 + v3 - v1,v3 + v1- v2, v1+ v2 + v3)d){v1 + v2, v2 + 2v3, v3 + 3v1}Correct answer is option 'D'. Can you explain this answer?, a detailed solution for If {v1, v2, v3} is a linearly independent set of vectors in a vector space over which one of the following sets is also linearly independent?a){v1+ v2 + v3, 2v1+ v2 + 3v3, 5v1+ 4v2}b){v1- v2, v2 - v3, v3 - v1}c){v1+ v2 - v3, v2 + v3 - v1,v3 + v1- v2, v1+ v2 + v3)d){v1 + v2, v2 + 2v3, v3 + 3v1}Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of If {v1, v2, v3} is a linearly independent set of vectors in a vector space over which one of the following sets is also linearly independent?a){v1+ v2 + v3, 2v1+ v2 + 3v3, 5v1+ 4v2}b){v1- v2, v2 - v3, v3 - v1}c){v1+ v2 - v3, v2 + v3 - v1,v3 + v1- v2, v1+ v2 + v3)d){v1 + v2, v2 + 2v3, v3 + 3v1}Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If {v1, v2, v3} is a linearly independent set of vectors in a vector space over which one of the following sets is also linearly independent?a){v1+ v2 + v3, 2v1+ v2 + 3v3, 5v1+ 4v2}b){v1- v2, v2 - v3, v3 - v1}c){v1+ v2 - v3, v2 + v3 - v1,v3 + v1- v2, v1+ v2 + v3)d){v1 + v2, v2 + 2v3, v3 + 3v1}Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Mathematics tests.
Explore Courses for Mathematics exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev