Question: True/False Questions If true give an explanation. If false, give a counterexample. (a) Different matrices cannot have the same RREF. True or fa1se? (b) If

True/False Questions If true give an explanation. If false, give a counterexample.
(a) Different matrices cannot have the same RREF. True or fa1se?
(b) If the rank of an m ( n matrix is n. Then the system Ax̅ = b̅ has exactly one solution. True or fa1se?
(c) If A is an n ( n matrix and b̅ is a vector in Rn such that Ax̅ = b̅ is inconsistent, then so is Ax̅ = c̅ for any ocher nonzero vector c̅ in Rn. True or fa1se?

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