A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

sswann222

  • 4 years ago

let X1,X2,....Xn be linearly independent vectors in a vector space V. (a) if we add a vector Xn+1 to the collection, will we still have a linearly independent collection of vectors? (b) if we delete a vector, Xn, from our collection, will we still hav a linearly independent collection of vectors?

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

    do we know how many elements in each vector? is it n?

  2. TuringTest
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    b) is yes either way...

  3. sswann222
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    first question: No we do not know how many elements. Just Xn and then we add Xn+1.

  4. TuringTest
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    well that is strange, because it depends on what vector you have say we have (1,0,0) and (0,1,0) if we add (2,0,0) then it is no longer linearly dependent if we add (0,0,1) then it is still linearly dependent

  5. 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...

23

  • 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.