True/False Questions If true, give an explanation. If false, give a counterexample.(a) Dif...

True/False Questions If true, give an explanation. If false, give a counterexample.

(a) Different matrices cannot have the same RREF. True or false?

(b) If the rank of an m × n matrix is n, then the system has exactly one solution. True or false?

(c) If A is an n × n matrix and is a vector in ℝn such that is inconsistent, then so is for any other nonzero vector in ℝn. True or false?