Question: Let A be a mn matrix. We showed that V={nR n |Ax=0} is a subspace of R n . Prove that dim(V)+rank(A)=n (Hint: First consider

Let A be a m×n matrix. We showed that V={nRⁿ|Ax=0} is a subspace of Rⁿ. Prove that dim(V)+rank(A)=n (Hint: First consider the case where A is in reduced row echelon form)

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