Question

What is the nullity of a matrix?

Answer 1

if \(A\) is an \(n\times m\), then the set of all \(\{\vec x|A\vec x=0\}\) is the null space of \(A\), and the dimension of that subspace is the nullity of \(A\)

Answer 2

they are related to row space, column space, and rank

http://tutorial.math.lamar.edu/Classes/LinAlg/FundamentalSubspaces.aspx

Answer 3

Sorry, what is null space? The numbers in the matrix that =0?

Answer 4

the set of all the vectors \(\vec x\) that are a solution to \(A\vec x=0\) is the null space

Answer 5

nullity of a matrix is just the dimension of the nullspace of the matrix or simply the number of elements in the basis for the nullspace of a matrix