Q04

MCQ1 mark, −0.33

Consider the systems, each consisting of $m$ linear equations in $n$ variables. Which one of the following is CORRECT? $\text{I, II}$ and $\text{III}$ are true. Only $\text{II}$ and $\text{III}$ are true. Only $\text{III}$ is true. None of them is true.

(A)

If $m < n$ , then all such systems have a solution.

(B)

If $m > n$ , then none of these systems has a solution.

(C)

If $m = n$ , then there exists a system which has a solution.

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