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Suppose we are given a system Ax = b, with A an n × m matrix....

Suppose we are given a system Ax = b, with A an n × m matrix. What can you say about the solution set of the system in the following cases? Provide a brief explanation.

(i) rank(A) < n

(ii) rank(A) = n

(iii) rank(A) < m

(iv) rank(A) = m

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