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If {v1, v2, v3} is a linearly independent set of vectors in a vector space over  then 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?
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If {v1, v2, v3} is a linearly independent set of vectors in a vector space over then 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?
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If {v1, v2, v3} is a linearly independent set of vectors in a vector space over then 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 IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about If {v1, v2, v3} is a linearly independent set of vectors in a vector space over then 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 IIT JAM 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 then 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?.
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