A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

How do I know when two vectors are "linearly independent". For example a = <1,2,3,4> and b = <5,10,15,20>

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

    so I've noticed a connection between determinants and cross product... The cross product tells me that axb = 0 when the two vectors are parallel.

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

    I just can't remember what it means to say the two vectors are "linearly independent" or "linearly dependent". Just a concept question

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

    I just figured out the answer to this question. Linear independence is when the two vectors cross resulting in a unique solution through a particular point and Linear "independence" is when the two vectors remain parallel and never cross resulting in infinitely many solutions to describe the vectors

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

    Hence, if determinant or cross product is is zero the vectors are parallel or linearly dependent.....oh lol what I said above is false though ;0

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

    If one vector is a multiple of another, then they are dependent and parallel.

  6. 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.