###### Definition 3.5.8

If \(A\) is an \(m\times n\) matrix, we call the subset of vectors \(\xvec\) in \(\real^n\) satisfying \(A\xvec = \zerovec\) the *null space* of \(A\text{.}\) We denote it as \(\nul(A)\text{.}\)

If \(A\) is an \(m\times n\) matrix, we call the subset of vectors \(\xvec\) in \(\real^n\) satisfying \(A\xvec = \zerovec\) the *null space* of \(A\text{.}\) We denote it as \(\nul(A)\text{.}\)