can we say N(A) = N(rref(A)) = N(Row echelon form A)? I was watching a video about that and instructor(khan acamdey) stated that N(A) = N(rref(A)) but not stated Row echelon form, it may be uunneccessary to emphasize that but should it be true right ?
2026-04-29 08:29:29.1777451369
Null space of a matrix and row echelon form
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Yes, the null spaces of $A$, row echelon form of $A$ and reduced row echelon form of $A$ are equal. This is because elementary row operations preserve the null space of a matrix.