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GATE | GATE-CS-2016 (Set 2) | Question 14

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

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