Nullity = 1

  • Thread starter peterlam
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  • #1
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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!
 

Answers and Replies

  • #2
459
0
The null space of a nullity 1 matrix is spanned by a single vector. What that vector is depends on the matrix.
 
  • #3
22,129
3,297
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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