Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Nullity = 1

  1. Jul 25, 2011 #1
    For a matrix A, if its nullity is equal to 1, what is the implication of that? What spans its null space?

    Thanks a lot!
     
  2. jcsd
  3. Jul 25, 2011 #2
    The null space of a nullity 1 matrix is spanned by a single vector. What that vector is depends on the matrix.
     
  4. Jul 25, 2011 #3

    micromass

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor
    2016 Award

    Some easy implications are that the matrix will not be invertible. Moreover, A will have 0 has an eigenvalue and the geometric multiplicty of 0 will be 1.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Nullity = 1
  1. < or = to 1 (Replies: 5)

  2. -1 = 1 ? (Replies: 9)

  3. 1 = -1 ? (Replies: 7)

Loading...