Determine if each of the following statements is true or false. If it’s true, explain why....

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Determine if each of the following statements is true or false.If it’s true, explain why. If it’s false explain why not, or simplygive an example demonstrating why it’s false. (A correct choice of“T/F” with no explanation will not receive any credit.)

(a) If a system has more equations than variables, its RREF musthave a row of 0’s.

(b) If a consistent system has more variables than equations,then it must have in?nitely many solutions.

(c) Consider a system with m equations, n variables, and rank r.If the system has a unique solution, then m = n.

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SOLUTIONa If a system has more equations than variables itsRREF must have    See Answer
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