(a) Prove that if à is obtained from A by elementary row operations, then N(A)=N({tilde{A}}).
Question: (a) Prove that if \(\tilde{A}\) is obtained from \(A\) by elementary row operations, then \(N\left( A \right)=N\left( {\tilde{A}} \right)\).
(b) Prove that if \(\tilde{A}\) is obtained from \(A\) by elementary column operations, then \(R\left( A \right)=R\left( {\tilde{A}} \right)\).
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Deliverables: Word Document
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