Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

imotive

  • 3 years ago

-1 3 2 A= 3 -9 -6 -3 9 6 . Find a basis of A.

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

    If you divide the first row by -1, the second row by 3, and the third row by -3, we reduce matrix A to 1 -3 -2 1 -3 -2 1 -3 -3. Its row-echelon form is 1 -3 -2 0 0 0 0 0 0. Therefore, a basis for the one-dimensional vector space that is the image of the transformation A from R^3 to R is the column vector [1, -3, -2]^T.

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

    WHAT IF WE ARE TRYING TO FIND THE BASIS OF NULLSPACE(A) ? :D

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

    Finding a basis for the nullspace is equivalent to solving a system of equations. Ax = 0 find the set of all x that satisfies it.

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

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.