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Relation between nullspace and row-equivalence of matrices over $\mathbb{Z}$ and $\mathbb$\frac{\mathbb{Z}_n$}{n \mathbb{Z}}$?
Two matrices $D$ and $E$ over a field have the same nullspace if only if they are row-equivalent. Is the same true if those matrices are over the ring of integers ($\mathbb{Z}$) or integers mod a fixed positive integer ($\mathbb{Z}/(n \mathbb{Z})$)?
Relation between nullspace and row-equivalence of matrices over $\mathbb{Z}$ and $\mathbb{Z}_n$?
Two matrices $D$ and $E$ over a field have the same nullspace if only if they are row-equivalent. Is the same true if those matrices are over the ring of integers or integers mod a fixed positive integer?
Relation between nullspace and row-equivalence of matrices over $\mathbb{Z}$ and $\frac{\mathbb{Z}}{n \mathbb{Z}}$?
Two matrices $D$ and $E$ over a field have the same nullspace if only if they are row-equivalent. Is the same true if those matrices are over the ring of integers ($\mathbb{Z}$) or integers mod a fixed positive integer ($\mathbb{Z}/(n \mathbb{Z})$)?
Relation between nullspace and row-equivalence of matrices over $\mathbb{Z}$ and $\mathbb{Z}_n$?
Two matrices $D$ and $E$ over a field have the same nullspace if only if they are row-equivalent. Is the same true if those matrices are over the ring of integers or integers mod a fixed positive integer?
