profile-img
Deepak Patra posted an Question
December 25, 2021 • 10:15 am 30 points
  • IIT JAM
  • Mathematics (MA)

4. let denote a vector space over a field f and with a basis b=l.e2,..,en let ,*2,x, ef let c={mx1 +x2e2 +x22t.**nn . then (a.) c is a linearly independent set

4. Let denote a vector space over a field F and with a basis B=l.e2,..,en Let ,*2,X, EF Let C={MX1 +X2e2 +X22t.**nn . Then (a.) C is a linearly independent set implies that x; *0 for every i =1,2,..,n (b.) x *0 for every i=1,2,...,n implies that C is a linearly independent set. (c.) The linear span of C is V implies that x #0 for'every i = 1,2,..,n (d.) x; *0 for every i=1,2,..,n implies that the linear span of C isV

1 Answer(s) Answer Now
  • 0 Likes
  • 1 Comments
  • 0 Shares
  • comment-profile-img
    Navdeep goyal 1

    check attachment

    cropped8359145439991326821.jpg
    cropped6820167086536668650.jpg
    eduncle-logo-app

    sir please explain option c and d

    eduncle-logo-app

    c is LI subset of V of dimension n so by extension th it is basis of V linear Span of v

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