Consider the systems, each consisting of m linear equations in n variables. I. If m < n, then all such systems have a solution II. If m > n, then none of these systems has a solution III. If m = n, then there exists a system which has a solution Which one of the following is CORRECT?

Consider the systems, each consisting of m linear equations in n varia

1.	Consider the systems, each consisting of m linear equations in n variables. I. If m < n, then all such systems have a solution II. If m > n, then none of these systems has a solution III. If m = n, then there exists a system which has a solution Which one of the following is CORRECT?
A.	I, II and III are true
B.	Only II and III are true
C.	Only III is true
D.	None of them is true
Answer» D. None of them is true

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Consider the systems, each consisting of m linear equations in n variables. I. If m &lt; n, then all such systems have a solution II. If m &gt; n, then none of these systems has a solution III. If m = n, then there exists a system which has a solution Which one of the following is CORRECT?

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Consider the systems, each consisting of m linear equations in n variables. I. If m < n, then all such systems have a solution II. If m > n, then none of these systems has a solution III. If m = n, then there exists a system which has a solution Which one of the following is CORRECT?