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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?


I, II and III are true


Only II and III are true


Only III is true


None of them is true

asked in Linear Algebra by gate

1 Answer

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Only III is true

answered by gate

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