Question: (a) We're given a n x m matrix A and we're told that the linear system A(z) = 6 sometimes has exactly one solution

(a) We're given a n x m matrix A and we're told

(a) We're given a n x m matrix A and we're told that the linear system A(z) = 6 sometimes has exactly one solution and sometimes has no solutions, depending on the choice of 5. What can be said about n, m and the rank of A? (b) Same as part (a), except that we're told that the system always has a unique solution, regardless of the choice of 6.

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