A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing


  • 5 years ago

prove that if the vectors v1,...vn span the vector space V, and T: V into W is an onto linear function. then the vecters T(v1),...,T(vn) span the vecter space W.

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i know by theorem, if T is onto then the vectors T(v1),...,T(vn) are Linearly independent. But I first need to prove that v1,...,vn is a basis of V in order to apply this theorem. I already know by assumption that v1,..,vn spans V, so I just need to prove that v1,..., vn is Linearly Independent in V... and that is were I am stumbling.

  2. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...


  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.