Vandana Yadav posted an Question
November 26, 2020 • 15:03 pm 30 points
  • IIT JAM
  • Mathematics (MA)

21. the number of elements in any two bases of a fdvs are (a) even in numbers (b) odd in numbers (c) equal in numbers (d) none of these

21. The number of elements in any two bases of a FDVS are (A) Even in numbers (B) Odd in numbers (C) Equal in numbers (D) None of these

2 Answer(s) Answer Now
  • 0 Likes
  • 2 Comments
  • 0 Shares
  • comment-profile-img>
    Deepak singh 1 best-answer

    option c is correct Any two bases of finitely generated vector space have same cardinality . because cardinality of basis is dimension of vector space and we know dimension is always unique , So if we take any two bases will have same cardinality .. for more detailed proof , go through this link https://youtu.be/SDT7VD1DaRs

  • comment-profile-img>
    Satpal singh best-answer

    see this video thoroughly https://youtu.be/SDT7VD1DaRs you will get your answer

whatsapp-btn

Do You Want Better RANK in Your Exam?

Start Your Preparations with Eduncle’s FREE Study Material

  • Updated Syllabus, Paper Pattern & Full Exam Details
  • Sample Theory of Most Important Topic
  • Model Test Paper with Detailed Solutions
  • Last 5 Years Question Papers & Answers