Question: 2. Consider a system of linear equations Ax = b, where A is an m n matrix. a) By considering the possible shapes that the

2. Consider a system of linear equations Ax = b, where A is an m n matrix.

a) By considering the possible shapes that the echelon form of A may take, show that if m < n then the system cannot have a unique solution.

b) Show that if m > n there must be some b for which the system has no solution

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