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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
    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.
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